Results 21 to 30 of about 1,125 (122)
Weighted holomorphic Besov spaces on the polydisk
Journal of Function Spaces, Volume 9, Issue 1, Page 1-16, 2011., 2011 This work is an introduction of weighted Besov spaces of holomorphic functions on the polydisk. Let Un be the unit polydisk in Cn and S be the space of functions of regular variation. Let 1 ≤ p < ∞, ω = (ω1, …, ωn), ωj ∈ S(1 ≤ j ≤ n) and f ∈ H(Un). The function f is said to be an element of the holomorphic Besov space Bp(ω) if ‖f‖Bp(ω)p=∫Un |Df(z)|p∏j ...
Anahit V. Harutyunyan +2 more
wiley +1 more source
Hausdorff operators on Bergman spaces of the upper half plane
Concrete Operators, 2020 In this paper we study Hausdorff operators on the Bergman spaces Ap(𝕌) of the upper half plane.
Stylogiannis Georgios
doaj +1 more source
Approximation of the image of the Lp ball under Hilbert-Schmidt integral operator
Demonstratio Mathematica, 2023 In this article, an approximation of the image of the closed ball of the space Lp{L}_{p} (p>1p\gt 1) centered at the origin with radius rr under Hilbert-Schmidt integral operator F(⋅):Lp→LqF\left(\cdot ):{L}_{p}\to {L}_{q}, 1p+1q=1\frac{1}{p}+\frac{1}{q}=
Huseyin Nesir
doaj +1 more source
Journal of Function Spaces, Volume 9, Issue 3, Page 217-244, 2011., 2011 I. Vekua’s integral representations of holomorphic functions, whose m‐th derivative (m ≥ 0) is Hӧlder‐continuous in a closed domain bounded by the Lyapunov curve, are generalized for analytic functions whose m‐th derivative is representable by a Cauchy type integral whose density is from variable exponent Lebesgue space Lp(⋅)(Γ; ω) with power weight ...
Vakhtang Kokilashvili +2 more
wiley +1 more source
A general method to study the convergence of nonlinear operators in Orlicz spaces
Advanced Nonlinear Studies, 2022 We continue the work started in a previous article and introduce a general setting in which we define nets of nonlinear operators whose domains are some set of functions defined in a locally compact topological group. We analyze the behavior of such nets
Vinti Gianluca, Zampogni Luca
doaj +1 more source
Algebraic reflexivity of sets of bounded linear operators on absolutely continuous function spaces
Operators and Matrices, 2019 In this paper we deal with the algebraic reflexivity of sets of bounded linear operators on absolutely continuous vector-valued function spaces. As a consequence, it is shown that the set of all surjective linear isometries, the set of all isometric ...
Maliheh Hosseini
semanticscholar +1 more source
Generalized composition operators from Bloch type spaces to QK type spaces
Journal of Function Spaces, Volume 8, Issue 1, Page 55-66, 2010., 2010 This paper characterizes the boundedness and compactness of the generalized composition operator (Cφgf)(z)=∫0zf′(φ(ξ))g(ξ)dξ from Bloch type spaces to QK type spaces.
Fang Zhang +2 more
wiley +1 more source
Maps preserving common zeros between subspaces of vector-valued continuous functions [PDF]
, 2009 For metric spaces $X$ and $Y$, normed spaces $E$ and $F$, and certain subspaces $A(X,E)$ and $A(Y,F)$ of vector-valued continuous functions, we obtain a complete characterization of linear and bijective maps $T:A(X,E)\to A(Y,F)$ preserving common zeros ...
Dubarbie, Luis
core +1 more source
Generalized weighted composition operators on weighted Bergman spaces, II
Mathematical Inequalities & Applications, 2019 The boundedness, compactness, essential norm, Hilbert-Schmidt class and order boundedness of generalized weighted composition operators on weighted Bergman spaces are investigated in this paper. Mathematics subject classification (2010): 30H30, 47B38.
Xiangling Zhu
semanticscholar +1 more source
Journal of Function Spaces, Volume 7, Issue 3, Page 301-311, 2009., 2009 Recently V. Kokilashvili, N. Samko, and S. Samko have proved a sufficient condition for the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights over Carleson curves. This condition is formulated in terms of Matuszewska‐Orlicz indices of weights. We prove a partial converse of their result.
Alexei Yu. Karlovich, Lech Maligranda
wiley +1 more source