Results 21 to 30 of about 4,929,978 (372)
Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces
Journal 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
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On the Generalized Hardy Spaces [PDF]
Abstract and Applied Analysis, 2010 We introduce new spaces that are extensions of the Hardy spaces and we investigate the continuity of the point evaluations as well as the boundedness and the compactness of the composition operators on these spaces.
openaire +4 more sources
Real-variable characterizations of new anisotropic mixed-norm Hardy spaces [PDF]
Communications 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
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Herz-Type Hardy Spaces Associated with Operators
Journal 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
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ON HARDY TYPE SPACES IN SOME DOMAINS IN Cn AND RELATED PROBLEMS [PDF]
Vestnik 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
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Real-variable characterizations of Orlicz-slice Hardy spaces [PDF]
Analysis and Applications, 2018 In this paper, the authors first introduce a class of Orlicz-slice spaces which generalize the slice spaces recently studied by Auscher et al. Based on these Orlicz-slice spaces, the authors then introduce a new kind of Hardy-type spaces, the Orlicz ...
Yangyang Zhang +3 more
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Boundedness for a Class of Singular Integral Operators on Both Classical and Product Hardy Spaces
Abstract 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
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A Complete Real-Variable Theory of Hardy Spaces on Spaces of Homogeneous Type [PDF]
Journal of Fourier Analysis and Applications, 2018 Let $$(X,d,\mu )$$(X,d,μ) be a space of homogeneous type, with the upper dimension $$\omega $$ω, in the sense of Coifman and Weiss. Assume that $$\eta $$η is the smoothness index of the wavelets on X constructed by Auscher and Hytönen.
Ziyi He +5 more
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Journal 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
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Real-variable characterizations of Musielak–Orlicz Hardy spaces on spaces of homogeneous type
, 2020 Let (X , d, μ) be a space of homogeneous type in the sense of Coifman and Weiss. In this article, the authors establish a complete real-variable theory of Musielak–Orlicz Hardy spaces on (X , d, μ).
Xing Fu, T. Ma, Dachun Yang
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