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Wyszukujesz frazę "maximal operator" wg kryterium: Temat

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    Wyświetlanie 1-14 z 14
    Tytuł:
    Fractional operators and their commutators on generalized Orlicz spaces
    Autorzy:
    Karppinen, Arttu
    Powiązania:
    https://bibliotekanauki.pl/articles/2216166.pdf
    Data publikacji:
    2022
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    maximal operator
    commutator
    fractional operator
    generalized Orlicz
    Musielak-Orlicz
    Opis:
    In this paper we examine boundedness of fractional maximal operator. The main focus is on commutators and maximal commutators on generalized Orlicz spaces (also known as Musielak-Orlicz spaces) for fractional maximal functions and Riesz potentials. We prove their boundedness between generalized Orlicz spaces and give a characterization for functions of bounded mean oscillation.
    Źródło:
    Opuscula Mathematica; 2022, 42, 4; 583-604
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A sharp rearrangement inequality for the fractional maximal operator
    Autorzy:
    Cianchi, A.
    Kerman, R.
    Opic, B.
    Pick, L.
    Powiązania:
    https://bibliotekanauki.pl/articles/1206136.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    fractional maximal operator
    nonincreasing rearrangement
    classical Lorentz spaces
    weighted norm inequalities
    Opis:
    We prove a sharp pointwise estimate of the nonincreasing rearrangement of the fractional maximal function of ⨍, $M_{γ}⨍$, by an expression involving the nonincreasing rearrangement of ⨍. This estimate is used to obtain necessary and sufficient conditions for the boundedness of $M_γ$ between classical Lorentz spaces.
    Źródło:
    Studia Mathematica; 2000, 138, 3; 277-284
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Integral operators and weighted amalgams
    Autorzy:
    Carton-Lebrun, C.
    Heinig, H.
    Hofmann, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/1290479.pdf
    Data publikacji:
    1994
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    amalgam spaces
    weights
    $A_p$ weights
    Hardy operator
    Hardy-Littlewood maximal operator
    weighted amalgam inequalities
    Opis:
    For large classes of indices, we characterize the weights u, v for which the Hardy operator is bounded from $ℓ^{q̅}(L^{p̅}_{v})$ into $ℓ^{q}(L^{p}_{u})$. For more general operators of Hardy type, norm inequalities are proved which extend to weighted amalgams known estimates in weighted $L^p$-spaces. Amalgams of the form $ℓ^{q}(L^{p}_{w})$, 1 < p,q < ∞ , q ≠ p, $w ∈ A_p$, are also considered and sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator and local maximal operator in these spaces are obtained.
    Źródło:
    Studia Mathematica; 1994, 109, 2; 133-157
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Quasilinear vector differential equations with maximal monotone terms and nonlinear boundary conditions
    Autorzy:
    Bader, Ralf
    Papageorgiou, Nikolaos
    Powiązania:
    https://bibliotekanauki.pl/articles/1208032.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Dirichlet
    maximal monotone operator
    Yosida approximation
    monotone operator
    resolvent operator
    measurable selection
    demicontinuous operator
    Neumann and periodic problems
    coercive operator
    projection theorem
    Opis:
    We consider a quasilinear vector differential equation which involves the p-Laplacian and a maximal monotone map. The boundary conditions are nonlinear and are determined by a generally multivalued, maximal monotone map. We prove two existence theorems. The first assumes that the maximal monotone map involved is everywhere defined and in the second we drop this requirement at the expense of strengthening the growth hypothesis on the vector field. The proofs are based on the theory of operators of monotone type and on the Leray-Schauder fixed point theorem. At the end we present some special cases (including the classical Dirichlet, Neumann and periodic problems), which illustrate the general and unifying features of our work.
    Źródło:
    Annales Polonici Mathematici; 2000, 73, 1; 69-92
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dynamic Contact Problems With Velocity Conditions
    Autorzy:
    Chau, O.
    Motreanu, V. V.
    Powiązania:
    https://bibliotekanauki.pl/articles/907895.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    lepkosprężystość
    viscoelastic
    elastic
    subdifferential boundary condition
    dynamic process
    nonlinear hyperbolic variational inequality
    maximal monotone operator
    weak solution
    Opis:
    We consider dynamic problems which describe frictional contact between a body and a foundation. The constitutive law is viscoelastic or elastic and the frictional contact is modelled by a general subdifferential condition on the velocity, including the normal damped responses. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of second-order evolution variational inequalities. We show that the solutions of the viscoelastic problems converge to the solution of the corresponding elastic problem as the viscosity tensor tends to zero and when the frictional potential function converges to the corresponding function in the elastic problem
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 17-26
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Maximal functions for Weinstein operator
    Autorzy:
    Abdelkefi, Chokri
    Powiązania:
    https://bibliotekanauki.pl/articles/1795775.pdf
    Data publikacji:
    2020-03-03
    Wydawca:
    Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
    Tematy:
    Weinstein operator
    Weinstein transform
    Weinstein translation operators
    Maximal functions
    Opis:
    In the present paper, we study in the harmonic analysis associated to the Weinstein operator, the boundedness on $L^p$ of the uncentered maximal function. First, we establish estimates for the Weinstein translation of characteristic function of a closed ball with radius $ε$ centered at 0 on the upper half space $\mathbbR^{d-1}× ]0,+∞[$. Second, we prove weak-type $L^1$-estimates for the uncentered maximal function associated with the Weinstein operator and we obtain the $L^p$-boundedness of this operator for $1 < p ≤+∞$. As application, we define a large class of operators such that each operator of this class satisfies these $L^p$-inequalities. In particular, the maximal operator associated respectively with the Weinstein heat semigroup and the Weinstein-Poisson semigroup belong to this class.
    Źródło:
    Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2020, 19; 105-119
    2300-133X
    Pojawia się w:
    Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Two-weight mixed ф-inequalities for the one-sided maximal function
    Autorzy:
    Lai, Qinsheng
    Powiązania:
    https://bibliotekanauki.pl/articles/1289097.pdf
    Data publikacji:
    1995
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Young function
    one-sided maximal function
    Fefferman-Stein type fractional operator
    Hardy-type operator
    Opis:
    Suppose u, v, w, and t are weight functions on an appropriate measure space (X,μ), and $Φ_1$, $Φ_2$ are Young functions satisfying a certain relationship. Let T denote an operator to be specified below. The main purpose of this paper is to characterize (i) the strong type mixed Φ-inequality $Φ^{-1}_{2}(ʃ_{X} Φ_{2}(T(fv))wdμ) ≤ Φ^{-1}_{1} (ʃ_X Φ_{1}(Cf)vdμ)$, (ii) the weak type mixed Φ-inequality $Φ^{-1}_2 (ʃ_{|Tf|>λ}$ Φ_{2}(λw)tdμ) ≤ Φ^{-1}_{1} (ʃ_{X} Φ_{1}(Cfu)vdμ)$ and (iii) the extra-weak type mixed Φ-inequality $|{x ∈ X : |Tf(x)| > λ}|_{wdμ} ≤ Φ_{2}Φ^{-1}_{1} (ʃ_{X} Φ_{1}(Cfu/λ)vdμ)$, when T is the one-sided maximal function $M^{+}_{g}$; as well to characterize (iii) for the Fefferman-Stein type fractional maximal operator and the Hardy-type operator.
    Źródło:
    Studia Mathematica; 1995, 115, 1; 1-22
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Maximal Inequalities for a Best Approximation Operator in Orlicz Spaces
    Autorzy:
    Favier, Sergio
    Zó, Felipe
    Powiązania:
    https://bibliotekanauki.pl/articles/745344.pdf
    Data publikacji:
    2011
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Best \(\varphi\)-approximations by constants
    extended best approximation operator
    maximal inequalities
    Opis:
    In this paper we study a maximal operator \(\mathcal{M}f\) related with the best \(\varphi\) approximation by constants for a function \(f\in L^{\varphi'}_{\text{loc}}(\mathbb{R}^n)\), where we denote by \(\varphi'\) derivative function of the \(C^1\) convex function \(\varphi\). We get a necessary and sufficient condition which assure strong inequalities of the type \(\int_{\mathbb{R}^n} \theta(\mathcal{M}|f|)dx\leq K \int_{\mathbb{R}^n} \theta(|f|) dx\), where \(K\) is a constant independent of \(f\). Some pointwise and mean convergence results are obtained. In the particular case \(\varphi (t) = t^{p+1}\) we obtain several equivalent conditions on the functions \(\theta\) that assures strong inequalities of this type.
    Źródło:
    Commentationes Mathematicae; 2011, 51, 1
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Maximal column rank preservers of fuzzy matrices
    Autorzy:
    Song, Seok-Zun
    Park, Soo-Roh
    Powiązania:
    https://bibliotekanauki.pl/articles/728725.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    linear operator on matrices
    fuzzy matrix
    maximal column rank of a matrix
    congruence operator on matrices
    chain semiring
    Opis:
    This paper concerns two notions of rank of fuzzy matrices: maximal column rank and column rank. We investigate the difference of them. We also characterize the linear operators which preserve the maximal column rank of fuzzy matrices. That is, a linear operator T preserves maximal column rank if and only if it has the form T(X) = UXV with some invertible fuzzy matrices U and V.
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2001, 21, 2; 207-218
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Linear operators preserving maximal column ranks of nonbinary boolean matrices
    Autorzy:
    Song, Seok-Zun
    Yang, Sung-Dae
    Hong, Sung-Min
    Jun, Young-Bae
    Kim, Seon-Jeong
    Powiązania:
    https://bibliotekanauki.pl/articles/728798.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    Boolean matrix
    semiring
    linear operator on matrices
    congruence operator on matrices
    maximal column rank of a matrix
    Boolean rank of a matrix
    Opis:
    The maximal column rank of an m by n matrix is the maximal number of the columns of A which are linearly independent. We compare the maximal column rank with rank of matrices over a nonbinary Boolean algebra. We also characterize the linear operators which preserve the maximal column ranks of matrices over nonbinary Boolean algebra.
    Źródło:
    Discussiones Mathematicae - General Algebra and Applications; 2000, 20, 2; 255-265
    1509-9415
    Pojawia się w:
    Discussiones Mathematicae - General Algebra and Applications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Pointwise multiplication operators on weighted Banach spaces of analytic functions
    Autorzy:
    Bonet, J.
    Domański, P.
    Lindström, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1216221.pdf
    Data publikacji:
    1999
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    weighted Banach spaces of analytic functions
    pointwise multiplication operator
    essential norm, closed range
    approximative point spectrum
    maximal ideal space of $H^∞$
    Shilov boundary
    Gleason part
    hypercyclic operator
    chaotic operator
    Opis:
    For a wide class of weights we find the approximative point spectrum and the essential spectrum of the pointwise multiplication operator $M_φ$, $M_φ(f)=φf$, on the weighted Banach spaces of analytic functions on the disc with the sup-norm. Thus we characterize when $M'_φ$ is Fredholm or is an into isomorphism. We also study cyclic phenomena for the adjoint map $M'_φ$.
    Źródło:
    Studia Mathematica; 1999, 137, 2; 177-194
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Multipoint normal differential operators of first order
    Autorzy:
    Ismailov, Z. I.
    Powiązania:
    https://bibliotekanauki.pl/articles/952785.pdf
    Data publikacji:
    2009
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    differential operator
    formally normal and normal operator
    multipoint minimal and maximal operators
    extension
    selfadjoint
    accretive and unitary operators
    class of compact operators
    spectrum of operators and its discreteness
    asymptotics of eigenvalues
    direct sum of spaces and operators
    Opis:
    In this paper we discuss all normal extensions of a minimal operator generated by a linear multipoint differential-operator expression of first order in the Hilbert space of vector-functions on the finite interval in terms of boundary and interior point values. Later on, we investigate the structure of the spectrum, its discreteness and the asymptotic behavior of the eigenvalues at infinity for these extensions.
    Źródło:
    Opuscula Mathematica; 2009, 29, 4; 399-414
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Universal images of universal elements
    Autorzy:
    Bernal-González, Luis
    Powiązania:
    https://bibliotekanauki.pl/articles/1206133.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    universal element
    almost commutativity
    universal image
    dense range
    dense hypercyclic manifold
    point spectrum of the adjoint
    analytic function of an operator
    real entire function
    maximal dimension
    Opis:
    We furnish several necessary and sufficient conditions for the following property: For a topological space X, a continuous selfmapping S of X and a family τ of continuous selfmappings of X, the image under S of every τ-universal element is also τ-universal. An application in operator theory, where we extend results of Bourdon, Herrero, Bes, Herzog and Lemmert, is given. In particular, it is proved that every hypercyclic operator on a real or complex Banach space has a dense invariant linear manifold with maximal algebraic dimension consisting, apart from zero, of vectors which are hypercyclic.
    Źródło:
    Studia Mathematica; 2000, 138, 3; 241-250
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Sensitivity of optimal solutions to control problems for systems described by hemivariational inequalities
    Autorzy:
    Denkowski, Z.
    Migórski, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/970353.pdf
    Data publikacji:
    2004
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    nierówność hemiwariacyjna
    zagadnienie kontrolne
    czułość
    wielofunkcja
    operator pseudomonotoniczny i ściśle monotoniczny
    hemivariational inequality
    control problem
    sensitivity
    Clarke subdifferential
    multifunction
    pseudomonotone and maximal monotone operators
    G, PG and F convergences
    Opis:
    In this paper the sensitivity of optimal solutions to control problems for the systems described by stationary and evolution heinivariational inequalities (HVIs) under perturbations of state relations and of cost functionals is investigated. First, basing on the theory of sequential [Gamma]-convergence we recall the abstract scheme concerning convergence of minimal values and minimizers. The abstract scheme works provided we can establish two properties: the Kuratowski convergence of solution sets for HVIs (state relations) and some complementary [Gamma]-convergence of the cost functionals. Then these two properties are implemented in each considered case.
    Źródło:
    Control and Cybernetics; 2004, 33, 2; 211-236
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-14 z 14

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