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    Wyświetlanie 1-14 z 14
    Tytuł:
    Two-dimensional examples of rank-one convex functions that are not quasiconvex
    Autorzy:
    Benaouda, M.
    Telega, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/1208015.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    rank-one convex function
    quasiconvexity
    Opis:
    The aim of this note is to provide two-dimensional examples of rank-one convex functions which are not quasiconvex.
    Źródło:
    Annales Polonici Mathematici; 2000, 73, 3; 291-295
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Some weighted inequalities for general one-sided maximal operators
    Autorzy:
    J. Martín-Reyes, F.
    de la Torre, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1220679.pdf
    Data publikacji:
    1997
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    one-sided maximal operators
    Cesàro averages
    weights
    Opis:
    We characterize the pairs of weights on ℝ for which the operators $M_{h,k}^{+}f(x) = \underset{\text{sup}}{c>x}h(x,c) \int_{x}^{c} f(s)k(x,s,c)ds$ are of weak type (p,q), or of restricted weak type (p,q), 1 ≤ p < q < ∞, between the Lebesgue spaces with the coresponding weights. The functions h and k are positive, h is defined on ${(x,c): x < c}$, while k is defined on ${(x,s,c): x < s < c}$. If $h(x,c) = (c-x)^{-β}$, $k(x,s,c) = (c-s)^{α-1}$, 0 ≤ β ≤ α ≤ 1, we obtain the operator $M_{α,β}^{+}f = \underset{c>x}{\text{sup}} 1/(c-x)^{β} \int_{x}^{c} f(s)/(c-s)^{1-α} ds$. For this operator, under the assumption 1/p - 1/q = α - β, we extend the weak type characterization to the case p = q and prove that in the case of equal weights and 1 < p < ∞, weak and strong type are equivalent. If we take α = β we characterize the strong type weights for the operator $M_{α,α}^{+}$ introduced by W. Jurkat and J. Troutman in the study of $C_α$ differentiation of the integral.
    Źródło:
    Studia Mathematica; 1997, 122, 1; 1-14
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Turbulent maps and their ω-limit sets
    Autorzy:
    Balibrea, F.
    La Paz, C.
    Powiązania:
    https://bibliotekanauki.pl/articles/1310615.pdf
    Data publikacji:
    1997
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    turbulent
    ω-limit
    one-sided fixed point
    Opis:
    One-dimensional turbulent maps can be characterized via their ω-limit sets [1]. We give a direct proof of this characterization and get stronger results, which allows us to obtain some other results on ω-limit sets, which previously were difficult to prove.
    Źródło:
    Annales Polonici Mathematici; 1996-1997, 65, 3; 223-226
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Hyperspaces of two-dimensional continua
    Autorzy:
    Levin, Michael
    Sternfeld, Yaki
    Powiązania:
    https://bibliotekanauki.pl/articles/1205496.pdf
    Data publikacji:
    1996
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    hyperspaces
    hereditarily indecomposable continua
    one- and two-dimensional continua
    Opis:
    Let X be a compact metric space and let C(X) denote the space of subcontinua of X with the Hausdorff metric. It is proved that every two-dimensional continuum X contains, for every n ≥ 1, a one-dimensional subcontinuum $T_n$ with $dim C (T_n) ≥ n$. This implies that X contains a compact one-dimensional subset T with dim C (T) = ∞.
    Źródło:
    Fundamenta Mathematicae; 1996, 150, 1; 17-24
    0016-2736
    Pojawia się w:
    Fundamenta Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Weighted inequalities for one-sided maximal functions in Orlicz spaces
    Autorzy:
    Ortega Salvador, Pedro
    Powiązania:
    https://bibliotekanauki.pl/articles/1217888.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    one-sided maximal functions
    weighted inequalities
    weights
    Orlicz spaces
    Opis:
    Let $M_{g}^{+}$ be the maximal operator defined by $M_{g}^{+}⨍(x) = \underset{h>0}{\text{sup}} (ʃ_{x}^{x+h} |⨍|g)/(ʃ_{x}^{x+h} g)$, where g is a positive locally integrable function on ℝ. Let Φ be an N-function such that both Φ and its complementary N-function satisfy $Δ_2$. We characterize the pairs of positive functions (u,ω) such that the weak type inequality $u({x ∈ ℝ | M_{g}^{+}⨍(x) > λ}) ≤ C/(Φ(λ)) \int_ℝ Φ(|⨍|)ω$ holds for every ⨍ in the Orlicz space $L_Φ(ω)$. We also characterize the positive functions ω such that the integral inequality $\int_ℝ Φ(|M_{g}^{+}⨍|)ω ≤ \int_ℝ Φ(|⨍|)ω$ holds for every $⨍ ∈ L_Φ(ω)$. Our results include some already obtained for functions in $L^p$ and yield as consequences one-dimensional theorems due to Gallardo and Kerman-Torchinsky.
    Źródło:
    Studia Mathematica; 1998, 131, 2; 101-114
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On one-dimensional diffusion processes living in a bounded space interval
    Autorzy:
    Milian, Anna
    Powiązania:
    https://bibliotekanauki.pl/articles/1312065.pdf
    Data publikacji:
    1992
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    one-dimensional Itô equation
    bounded strong solutions
    time-dependent boundaries
    Opis:
    We prove that under some assumptions a one-dimensional Itô equation has a strong solution concentrated on a finite spatial interval, and the pathwise uniqueness holds.
    Źródło:
    Annales Polonici Mathematici; 1992, 57, 1; 13-19
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The one-sided minimal operator and the one-sided reverse Holder inequality
    Autorzy:
    Cruz-Uribe, David
    Neugebauer, C.
    Olesen, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/1288722.pdf
    Data publikacji:
    1995
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    one-sided (A_p) weights
    reverse Hölder inequality
    minimal function
    Opis:
    We introduce the one-sided minimal operator, $m^+f$, which is analogous to the one-sided maximal operator. We determine the weight classes which govern its two-weight, strong and weak-type norm inequalities, and show that these two classes are the same. Then in the one-weight case we use this class to introduce a new one-sided reverse Hölder inequality which has several applications to one-sided $(A^+_p)$ weights.
    Źródło:
    Studia Mathematica; 1995, 116, 3; 255-270
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Neumann problem for one-dimensional nonlinear thermoelasticity
    Autorzy:
    Shibata, Yoshihiro
    Powiązania:
    https://bibliotekanauki.pl/articles/1361114.pdf
    Data publikacji:
    1992
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    classical solutions
    Neumann problem
    global existence
    one-dimensional nonlinear thermoelasticity
    Opis:
    The global existence theorem of classical solutions for one-dimensional nonlinear thermoelasticity is proved for small and smooth initial data in the case of a bounded reference configuration for a homogeneous medium, considering the Neumann type boundary conditions: traction free and insulated. Moreover, the asymptotic behaviour of solutions is investigated.
    Źródło:
    Banach Center Publications; 1992, 27, 2; 457-480
    0137-6934
    Pojawia się w:
    Banach Center Publications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Connectivity of diagonal products of Baire one functions
    Autorzy:
    Maliszewski, Aleksander
    Powiązania:
    https://bibliotekanauki.pl/articles/1208439.pdf
    Data publikacji:
    1994
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Darboux function
    peripheral continuity
    approximate continuity
    derivative
    Baire one function
    diagonal product
    Opis:
    We characterize those Baire one functions f for which the diagonal product x → (f(x), g(x)) has a connected graph whenever g is approximately continuous or is a derivative.
    Źródło:
    Fundamenta Mathematicae; 1994-1995, 146, 1; 21-29
    0016-2736
    Pojawia się w:
    Fundamenta Mathematicae
    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:
    Pseudotopologies with applications to one-parameter groups, von Neumann algebras, and Lie algebra representations
    Autorzy:
    Rusinek, Jan
    Powiązania:
    https://bibliotekanauki.pl/articles/1292446.pdf
    Data publikacji:
    1993
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    pseudotopology
    continuity
    composition of operators
    differentiability
    one-parameter semigroup
    von Neumann algebra
    integration
    Lie algebra representation
    Opis:
    For any pair E,F of pseudotopological vector spaces, we endow the space L(E,F) of all continuous linear operators from E into F with a pseudotopology such that, if G is a pseudotopological space, then the mapping L(E,F) × L(F,G) ∋ (f,g) → gf ∈ L(E,G) is continuous. We use this pseudotopology to establish a result about differentiability of certain operator-valued functions related with strongly continuous one-parameter semigroups in Banach spaces, to characterize von Neumann algebras, and to establish a result about integration of Lie algebra representations.
    Źródło:
    Studia Mathematica; 1993, 107, 3; 273-286
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The cohomology algebras of orientable Seifert manifolds and applications to Lusternik-Schnirelmann category
    Autorzy:
    Bryden, J.
    Zvengrowski, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/1341772.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    cup products
    cup product length
    Lusternik-Schnirelmann category
    degree one maps
    diagonal map
    Seifert manifolds
    cohomology algebra
    Opis:
    This note gives a complete description of the cohomology algebra of any orientable Seifert manifold with ℤ/p coefficients, for an arbitrary prime p. As an application, the existence of a degree one map from an orientable Seifert manifold onto a lens space is completely determined. A second application shows that the Lusternik-Schnirelmann category for a large class of Seifert manifolds is equal to 3, which in turn is used to verify the Ganea conjecture for these Seifert manifolds.
    Źródło:
    Banach Center Publications; 1998, 45, 1; 25-39
    0137-6934
    Pojawia się w:
    Banach Center Publications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Tauberian theorems for Cesàro summable double sequences
    Autorzy:
    Móricz, Ferenc
    Powiązania:
    https://bibliotekanauki.pl/articles/1290321.pdf
    Data publikacji:
    1994
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    double sequence
    convergence in Pringsheim's sense
    summability (C,1,1)
    (C,1,0) and (C,0,1)
    one-sided Tauberian condition of Landau and Hardy type
    slow decrease
    ordered linear space
    Opis:
    $(s_{jk}: j,k = 0,1,...)$ be a double sequence of real numbers which is summable (C,1,1) to a finite limit. We give necessary and sufficient conditions under which $(s_{jk})$ converges in Pringsheim's sense. These conditions are satisfied if $(s_{jk})$ is slowly decreasing in certain senses defined in this paper. Among other things we deduce the following Tauberian theorem of Landau and Hardy type: If $(s_{jk})$ is summable (C,1,1) to a finite limit and there exist constants $n_1 > 0$ and H such that $jk(s_{jk} - s_{j-1,k} - s_{j-1,k} + s_{j-1,k-1}) ≥ -H$, $j(s_{jk} - s_{j-1, k}) ≥ -H$ and $k(s_{jk} - s_{j,k-1}) ≥ -H$ whenever $j,k > n_1$, then $(s_{jk})$ converges. We always mean convergence in Pringsheim's sense. Our method is suitable to obtain analogous Tauberian results for double sequences of complex numbers or for those in an ordered linear space over the real numbers.
    Źródło:
    Studia Mathematica; 1994, 110, 1; 83-96
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Around Widders characterization of the Laplace transform of an element of $L^{∞}(ℝ^{+})$
    Autorzy:
    Kisyński, Jan
    Powiązania:
    https://bibliotekanauki.pl/articles/1207972.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    operators from $L_{ϰ}^{1}(ℝ^{+})$ into a Banach space
    complete monotonicity and positivity with respect to a cone
    one-parameter semigroups of operators
    vector measures
    Gelfand space
    Radon-Nikodym property
    representations of the convolution algebra $L_{ϰ}^{1}(ℝ^{+})$
    pseudoresolvents and their generators
    real inversion formulas for the Laplace transform
    Opis:
    Let ϰ be a positive, continuous, submultiplicative function on $ℝ^{+}$ such that $lim_{t→∞} e^{-ωt}t^{-α}ϰ(t) = a$ for some ω ∈ ℝ, α ∈ $\overline{ℝ^{+}}$ and $a ∈ ℝ^{+}$. For every λ ∈ (ω,∞) let $ϕ_{λ}(t) =e^{-λt}$ for $t ∈ ℝ^{+}$. Let $L^{1}_{ϰ}(ℝ^{+})$ be the space of functions Lebesgue integrable on $ℝ^{+}$ with weight $ϰ$, and let E be a Banach space. Consider the map $ϕ_{•}: (ω,∞) ∋ λ → ϕ_{λ} ∈ L_{ϰ}^{1}(ℝ^{+})$. Theorem 5.1 of the present paper characterizes the range of the linear map $T → Tϕ_{•}$ defined on $L(L_{ϰ}^{1}(ℝ^{+});E)$, generalizing a result established by B. Hennig and F. Neubrander for $ϰ(t)=e^{ωt}$. If ϰ ≡ 1 and E =ℝ then Theorem 5.1 reduces to D. V. Widder's characterization of the Laplace transform of a function in $L^{∞}(ℝ^{+})$. Some applications of Theorem 5.1 to the theory of one-parameter semigroups of operators are discussed. In particular a version of the Hille-Yosida generation theorem is deduced for $C_0$ semigroups $(S_t)_{t ∈ \overline{ℝ^{+}}}$ such that $sup_{t ∈ \overline{ℝ^{+}}} (ϰ(t))^{-1}∥ S_t∥ < ∞$.
    Źródło:
    Annales Polonici Mathematici; 2000, 74, 1; 161-200
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-14 z 14

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