Results 1 to 10 of about 4,869,013 (329)

Extensions of Hardy spaces and their use in analysis [PDF]

, 1977
Ronald R. Coifman, Guido Weiss
openalex   +2 more sources

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

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

Endpoint estimates for multilinear fractional singular integral operators on Herz and Herz type Hardy spaces

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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Atomic Decompositions and John-Nirenberg Theorem of Grand Martingale Hardy Spaces with Variable Exponents

Journal of Function Spaces, 2022
Let θ≥0 and p· be a variable exponent, and we introduce a new class of function spaces Lp·,θ in a probabilistic setting which unifies and generalizes the variable Lebesgue spaces with θ=0 and grand Lebesgue spaces with p·≡p and θ=1.
Libo Li, Zhiwei Hao
doaj   +1 more source

Reproducing Kernels for Hardy and Bergman Spaces of the Upper Half Plane

Communications in Advanced Mathematical Sciences, 2020
Using invertible isometries between Hardy and Bergman spaces of the unit disk $\D$ and the corresponding spaces of the upper half plane $\uP$, we determine explicitly the reproducing kernels for the Hardy and Bergman spaces of $\uP$. As a consequence, we
Job Bonyo
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Sharp bounds for Hardy-type operators on mixed radial-angular central Morrey spaces

Journal of Inequalities and Applications, 2023
By using the rotation method, a sharp bound for an n-dimensional Hardy operator on mixed radial-angular central Morrey spaces is obtained. Furthermore, a sharp weak-type estimate for an n-dimensional Hardy operator on mixed radial-angular central Morrey ...
Mingquan Wei, Dunyan Yan
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ON SOME SHARP THEOREMS ON DISTANCE FUNCTION IN HARDY TYPE, BERGMAN TYPE AND HERZ TYPE ANALYTIC CLASSES [PDF]

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017
We present some new sharp estimates concerning distance function in some new mixed norm and Lizorkin-Triebel type spaces in the unit ball.This leads at the same time to direct generalizations of our recent results on extremal problems in such Bergman ...
R. F. Shamoyan, S.P. Maksakov
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On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces [PDF]

, 2020
In this paper we characterize subsequences of Fejer means with respect to Vilenkin systems, which are bounded from the Hardy space $H_{p}$ to the Lebesgue space $L_{p},$ for all ...
L. Persson, G. Tephnadze, G. Tutberidze
semanticscholar   +1 more source

Weighted composition operators on Hardy–Smirnov spaces

Concrete 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
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