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Wyświetlanie 1-10 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
Wyświetlanie 1-10 z 14

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