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Applications of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces

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
semanticscholar   +1 more source

Discrete Littlewood–Paley–Stein characterization of multi-parameter local Hardy spaces

Forum mathematicum, 2019
In our recent work [W. Ding, G. Lu and Y. Zhu, Multi-parameter local Hardy spaces, Nonlinear Anal. 184 2019, 352–380], the multi-parameter local Hardy space h p ⁢ ( ℝ n 1 × ℝ n 2 ) {h^{p}(\mathbb{R}^{n_{1}}\times\mathbb{R}^{n_{2}})} has been introduced ...
Wei Ding, Guozhen Lu, Yue-Ping Zhu
semanticscholar   +1 more source

Sublinear operators on weighted Hardy spaces with variable exponents

Forum mathematicum, 2019
We establish the mapping properties for some sublinear operators on weighted Hardy spaces with variable exponents by using extrapolation. In particular, we study the Calderón–Zygmund operators, the maximal Bochner–Riesz means, the intrinsic square ...
K. Ho
semanticscholar   +1 more source

Endpoint estimates of linear commutators on Hardy spaces over spaces of homogeneous type

Mathematical methods in the applied sciences, 2018
Let (X,d,μ) be a metric measure space of homogeneous type in the sense of Coifman and Weiss. In this article, the authors prove that bilinear operators, which are finite combinations of compositions of commutators and Calderón‐Zygmund operators, are ...
Liguang Liu   +3 more
semanticscholar   +1 more source

Fractional integral operators on Orlicz slice Hardy spaces

Fractional Calculus and Applied Analysis, 2022
K. Ho
semanticscholar   +1 more source

Fourier transform of anisotropic mixed-norm Hardy spaces

Frontiers of Mathematics in China, 2021
Long Huang, D. Chang, Dachun Yang
semanticscholar   +1 more source

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