Results 51 to 60 of about 21,010 (163)

Variable Hardy Spaces

open access: yes, 2012
We develop the theory of variable exponent Hardy spaces. Analogous to the classical theory, we give equivalent definitions in terms of maximal operators. We also show that distributions in these spaces have an atomic decomposition including a "finite" decomposition; this decomposition is more like the decomposition for weighted Hardy spaces due to ...
Cruz-Uribe, David   +2 more
openaire   +2 more sources

Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball

open access: yesAbstract and Applied Analysis, 2010
The boundedness and compactness of weighted iterated radial composition operators from the mixed-norm space to the weighted-type space and the little weighted-type space on the unit ball are characterized here.
Stevo Stević
doaj   +1 more source

Connection of two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed norms

open access: yesElectronic Journal of Differential Equations, 2016
In this article we study a connection between two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed norm.
Rovshan A. Bandaliyev
doaj  

Almost Everywhere Convergence of Varying Parameter Setting Cesàro Means of Fourier Series With Respect to Walsh–Kaczmarz System

open access: yesAnnales Mathematicae Silesianae
In this paper, the almost everywhere convergence of Cesàro means of Walsh–Kaczmarz–Fourier series in a varying parameter setting is investigated. In particular, we define subsequence ℕαn,q{{\mathbb{N}}_{{{\alpha }_{n}},q}} of natural numbers and prove ...
Adimasu Anteneh Tilahun
doaj   +1 more source

Hardy space of Clausen's and Goursat's hypergeometric functions [PDF]

open access: yesSurveys in Mathematics and its Applications
Let ℛ denote the class of analytic functions defined in the open unit disc Δ=\z∈ ℂ: |z|
Jocelyn Johnson, S. Sunil Varma
doaj  

Hardy operators and commutators on generalized central function spaces

open access: yesElectronic Journal of Differential Equations
In this article, we study the boundedness of operators of Hardy type on generalized central function spaces, such as the generalized central Hardy space $\mathbf{HA}^{p,r}_\varphi(\mathbb{R}^n)$, the generalized central Morrey space $\dot{\mathbf{M}}^{p ...
Le Trung Nghia
doaj  

On a new generalization of a Perov-type F-contraction with application to a semilinear operator system

open access: yesFixed Point Theory and Algorithms for Sciences and Engineering
This manuscript aims to present new results about the generalized F-contraction of Hardy–Rogers-type mappings in a complete vector-valued metric space, and to demonstrate the fixed-point theorems for single and pairs of generalized F-contractions of ...
Muhammad Sarwar   +4 more
doaj   +1 more source

Ϝ-Contraction of Hardy–Rogers type in supermetric spaces with applications

open access: yesFixed Point Theory and Algorithms for Sciences and Engineering
This article focuses on studying some fixed-point results via Ϝ-contraction of Hardy–Rogers type in the context of supermetric space and ordered supermetric space. We also introduced rational-type z-contraction on supermetric space.
Kamaleldin Abodayeh   +4 more
doaj   +1 more source

Hardy spaces and rearrangements [PDF]

open access: yesTransactions of the American Mathematical Society, 1980
openaire   +1 more source

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