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Weighted Calderón-Hardy spaces [PDF]

Mathematica Bohemica
We present the weighted Calderón-Hardy spaces on Euclidean spaces and investigate their properties. As an application we show, for certain power weights, that the iterated Laplace operator is a bijection from these spaces onto classical weighted Hardy ...
Pablo Rocha
doaj   +4 more sources

Martingale Morrey-Hardy and Campanato-Hardy Spaces [PDF]

Journal of Function Spaces and Applications, 2013
We introduce generalized Morrey-Campanato spaces of martingales, which generalize both martingale Lipschitz spaces introduced by Weisz (1990) and martingale Morrey-Campanato spaces introduced in 2012.
Eiichi Nakai, Gaku Sadasue, Yoshihiro Sawano   +2 more
doaj   +3 more sources

Spatial Numerical Range of Operators on Weighted Hardy Spaces [PDF]

International Journal of Mathematics and Mathematical Sciences, 2011
We consider the spatial numerical range of operators on weighted Hardy spaces and give conditions for closedness of numerical range of compact operators.
Abdolaziz Abdollahi, Mohammad Taghi Heydari   +1 more
doaj   +2 more sources

Abstract Hardy spaces

Mathematical Inequalities & Applications, 2022
Summary: In this paper, we study the Hardy spaces on spaces of homogeneous \(X\). Firstly, we give the definitions of the atomic Hardy spaces \(H_{ato}^p\) and the molecular Hardy spaces \(H_{\epsilon,mol}^p ...
Yin Liu
semanticscholar   +2 more sources

Exponential Hardy spaces and applications

AIMS Mathematics
We introduce some Hardy spaces built on exponential Orlicz functions. We use these Hardy-type spaces to study the mapping properties of the Cesáro operators and the Cauchy transform.
Kwok-Pun Ho
doaj   +2 more sources

Variable Hardy Spaces [PDF]

, 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, SFO, Wang, Li-An Daniel   +2 more
openaire   +3 more sources

Hardy Spaces [PDF]

, 2019
Nikolaï Nikolski
semanticscholar   +2 more sources

On Hardy type spaces in strictly pseudoconvex domains and the density, in these spaces, of certain classes of singular functions [PDF]

, 2019
In this paper we prove generic results concerning Hardy spaces in one or several complex variables. More precisely, we show that the generic function in certain Hardy type spaces is totally unbounded and hence non-extentable, despite the fact that these ...
K. Kioulafa
openalex   +3 more sources

Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces [PDF]

Mathematische Nachrichten, 2021
Let (X,ρ,μ)$({\mathcal {X}},\rho ,\mu )$ be a space of homogeneous type in the sense of Coifman and Weiss, and let Y(X)$Y({\mathcal {X}})$ be a ball quasi‐Banach function space on X${\mathcal {X}}$ , which supports both a Fefferman–Stein vector‐valued ...
Xianjie Yan, Ziyi He, Dachun Yang, Wen Yuan   +3 more
semanticscholar   +1 more source

Mixed-norm Herz spaces and their applications in related Hardy spaces [PDF]

Analysis and Applications, 2022
In this paper, the authors introduce a class of mixed-norm Herz spaces, [Formula: see text], which is a natural generalization of mixed-norm Lebesgue spaces and some special cases of which naturally appear in the study of the summability of Fourier ...
Yirui Zhao, Dachun Yang, Yangyang Zhang
semanticscholar   +1 more source