Results 1 to 10 of about 5,067 (292)

A wavelet characterization for weighted Hardy Spaces

Revista Matemática Iberoamericana, 1992
In this paper, we give a wavelet area integral characterization for weighted Hardy spaces H^p(\omega), 0 < p < \infty , with \omega \in A_\infty .
Wu, Su-Gong
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On the Norm of Certain Weighted Composition Operators on the Hardy Space [PDF]

Abstract and Applied Analysis, 2009
We obtain a representation for the norm of certain compact weighted composition operator 𝐶𝜓,𝜑 on the Hardy space 𝐻2, whenever 𝜑(𝑧)=𝑎𝑧+𝑏 and 𝜓(𝑧)=𝑎𝑧−𝑏. We also estimate the norm and essential norm of a class of noncompact weighted composition operators ...
M. Haji Shaabani, B. Khani Robati
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Weighted Variable Sobolev Spaces and Capacity

Journal of Function Spaces and Applications, 2012
We define weighted variable Sobolev capacity and discuss properties of capacity in the space 𝑊1,𝑝(⋅)(ℝ𝑛,𝑤). We investigate the role of capacity in the pointwise definition of functions in this space if the Hardy-Littlewood maximal operator is bounded on ...
Ismail Aydin
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ON AN OPTIMAL STARTING CONTROL PROBLEM FOR DEGENERATE PARABOLIC EQUATION

Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2013
An optimal control problem for degenerate parabolic equation with mixed boundary conditions are considered. Having applied the Hardy - Poincare inequality, it is shown that this problem has a unique optimal solution in the correspondence weighted Sobolev
I. G. Balanenko, P. I. Kogut
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Composition-Differentiation Operators on Derivative Hardy Spaces

Journal of Mathematics
We first explore conditions under which every weighted composition-differentiation operator on the Hardy space H1D is completely continuous. We then discuss necessary and sufficient conditions for these operators to be Hilbert–Schmidt on the derivative ...
A. Abkar, A. Babaei
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Weighted Composition Operators from Hardy Spaces into Logarithmic Bloch Spaces

Journal of Function Spaces and Applications, 2012
The logarithmic Bloch space Blog⁡ is the Banach space of analytic functions on the open unit disk 𝔻 whose elements f satisfy the condition ∥f∥=sup⁡z∈𝔻(1-|z|2)log⁡  (2/(1-|z|2))|f'(z)|
Flavia Colonna, Songxiao Li
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Fredholmness of multiplication of a weighted composition operator with its adjoint on H 2 $H^{2}$ and A α 2 $A_{\alpha}^{2}$

Journal of Inequalities and Applications, 2018
In this paper, we obtain that C ψ , φ ∗ $C_{\psi,\varphi}^{\ast}$ is bounded below on H 2 $H^{2}$ or A α 2 $A_{\alpha}^{2}$ if and only if C ψ , φ $C_{\psi,\varphi }$ is invertible. Moreover, we investigate the Fredholm operators C ψ 1 , φ 1 C ψ 2 , φ 2 ∗
Mahmood Haji Shaabani
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Weighted Hardy operators in local generalized Orlicz-Morrey spaces

Karpatsʹkì Matematičnì Publìkacìï, 2021
In this paper, we find sufficient conditions on general Young functions $(\Phi, \Psi)$ and the functions $(\varphi_1,\varphi_2)$ ensuring that the weighted Hardy operators $A_\omega^\alpha$ and ${\mathcal A}_\omega^\alpha$ are of strong type from a local
C. Aykol, Z.O. Azizova, J.J. Hasanov
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Essential Norms of Stević–Sharma Operators from General Banach Spaces into Zygmund-Type Spaces

Journal of Mathematics, 2022
A Stević–Sharma operator denoted by Tψ1,ψ2,φ is a generalization product of multiplication, differentiation, and composition operators. Using several restrictive terms, we characterize an approximation of the essential norm of the Stević–Sharma operator ...
M. A. Bakhit
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Weighted composition operators from weighted hardy spaces to weighted-type spaces [PDF]

Demonstratio Mathematica, 2013
Abstract The boundedness and compactness of the weighted composition operator from weighted Hardy spaces to weighted-type spaces are studied in this paper.
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