Results 1 to 10 of about 4,929,978 (372)
Hardy operators and the commutators on Hardy spaces [PDF]
Journal 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
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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 +2 more
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Weighted Calderón-Hardy spaces [PDF]
Mathematica BohemicaWe 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
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Multiscale decompositions of Hardy spaces [PDF]
, 2021 An inspiration at the origin of wavelet analysis (when Grossmann, Morlet, Meyer and collaborators were interacting and exploring versions of multiscale representations) was provided by the analysis of holomorphic signals, for which the images of the phase of Cauchy wavelets were remarkable in their ability to reveal intricate singularities or dynamic ...
Ronald R. Coifman, Jacques Peyrière
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Applications of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces [PDF]
Results in Mathematics, 2019 Let X be a ball quasi-Banach function space satisfying some minor assumptions. In this article, the authors establish the characterizations of $$H_X(\mathbb {R}^n)$$ H X ( R n ) , the Hardy space associated with X , via the Littlewood–Paley g -functions ...
Fan Wang, Dachun Yang, Sibei Yang
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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
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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 +3 more
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Journal of Fourier Analysis and Applications, 2014 The authors summarize the contents of this paper in the abstract as follows: We study the boundary behavior of discrete monogenic functions, i.e. null-solutions of a discrete Dirac operator, in the upper and lower half space. Calculating the Fourier symbol of the boundary operator we construct the corresponding discrete Hilbert transforms, the ...
Cerejeiras, Paula +3 more
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AIMS Mathematics, 2021 The boundedness of singular and fractional integral operator on Lebesgue and Hardy spaces have been well studied. The theory of Herz space and Herz type Hardy space, as a local version of Lebesgue and Hardy space, have been developed. The main purpose of
Dazhao Chen
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