Results 21 to 30 of about 4,962,888 (373)

Weighted composition operators on Hardy–Smirnov spaces

open access: yesConcrete Operators, 2022
Operators of type f → ψf ◦ φ acting on function spaces are called weighted composition operators. If the weight function ψ is the constant function 1, then they are called composition operators.
Matache Valentin
doaj   +1 more source

Sharp weak bounds for discrete Hardy operator on discrete central Morrey spaces

open access: yesAIMS Mathematics, 2023
In this note, we introduce the discrete (weak) central Morrey spaces, which are central versions of discrete (weak) Morrey spaces. The sharp bounds for discrete Hardy operator from discrete central Morrey spaces to discrete weak central Morrey spaces are
Mingquan Wei , Xiaoyu Liu
doaj   +1 more source

Real-variable characterizations of new anisotropic mixed-norm Hardy spaces [PDF]

open access: yesCommunications on Pure and Applied Analysis, 2019
Let $\vec{p}\in(0,\infty)^n$ and $A$ be a general expansive matrix on $\mathbb{R}^n$. In this article, via the non-tangential grand maximal function, the authors first introduce the anisotropic mixed-norm Hardy spaces $H_A^{\vec{p}}(\mathbb{R}^n ...
Long Huang   +3 more
semanticscholar   +1 more source

Hardy operators and the commutators on Hardy spaces

open access: yesJournal of Inequalities and Applications, 2020
In this paper, the boundedness of the classic Hardy operator and its adjoint on Hardy spaces is obtained. We also discuss the boundedness for the commutators generated by the classic Hardy operator and its adjoint with B M O $BMO$ and C M O ( R + ) $CMO(\
Zhuang Niu, Shasha Guo, Wenming Li
doaj   +1 more source

Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces

open access: yesJournal of Function Spaces, 2014
(Hpℝn,Lqℝn) bounds of fractional Hardy operators are obtained. Moreover, the estimates for commutators of fractional Hardy operators on Hardy spaces are worked out.
Jiang Zhou, Dinghuai Wang
doaj   +1 more source

ON HARDY TYPE SPACES IN SOME DOMAINS IN Cn AND RELATED PROBLEMS [PDF]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019
We discuss some new problems in several new mixed norm Hardy type spaces in products of bounded pseudoconvex domains with smooth boundary in Cn and then prove some new sharp decomposition theorems for multifunctional Hardy type spaces in the unit ball ...
R. F. Shamoyan, V.V. Loseva
doaj   +1 more source

Herz-Type Hardy Spaces Associated with Operators

open access: yesJournal of Function Spaces, 2018
Suppose L is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator L. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy ...
Yan Chai, Yaoyao Han, Kai Zhao
doaj   +1 more source

Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces

open access: yesAbstract and Applied Analysis, 2014
We found that the classical Calderón-Zygmund singular integral operators are bounded on both the classical Hardy spaces and the product Hardy spaces. The purpose of this paper is to extend this result to a more general class. More precisely, we introduce
Chaoqiang Tan
doaj   +1 more source

Real‐variable characterizations of local Hardy spaces on spaces of homogeneous type [PDF]

open access: yesMathematische Nachrichten, 2019
Let (X,d,μ) be a space of homogeneous type, with upper dimension μ, in the sense of R. R. Coifman and G. Weiss. Let η be the Hölder regularity index of wavelets constructed by P. Auscher and T. Hytönen.
Ziyi He, Dachun Yang, Wen Yuan
semanticscholar   +1 more source

Relationship between Hardy Spaces Associated with Different Homogeneities and One-Parameter Hardy Spaces

open access: yesJournal of Function Spaces and Applications, 2013
We prove that the Hardy spaces associated with different homogeneities , are continuously embedded into the intersection of the isotropic Hardy spaces and the nonisotropic Hardy spaces . As a consequence, we obtain that any operator bounded from either
Xinfeng Wu
doaj   +1 more source

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