Aiting Wang

activity

20202023

collaborators

6 papers

math.FA2023

Herz-Type Hardy Spaces Associated with Ball Quasi-Banach Function Spaces

Aiting Wang, Wenhua Wang, Mingquan Wei +1

Let $X$ be a ball quasi-Banach function space, $α \in R$ and $q \in (0, \infty)$ . In this paper, the authors first introduce the Herz-type Hardy space $\mathcal{H\dot{K}}_{X}^…

math.FA2022

The Characterizations of Anisotropic Mixed-Norm Hardy Spaces on $R^{n}$ by Atoms and Molecules

Wenhua Wang, Aiting Wang

Let $p \in (0, \infty)^{n}$ , $A$ be an expansive dilation on $R^{n}$ ,and $H_{A}^{p} (R^{n})$ be the anisotropic mixed-norm Hardy space defined via the non-ta…

math.FA2022

The dual spaces of variable anisotropic Hardy-Lorentz spaces and continuity of a class of linear operators

Wenhua Wang, Aiting Wang

In this paper, the author obtain the continuity of a class of linear operators on variable anisotropic Hardy-Lorentz spaces. In addition, the author also obtain that the dual space…

math.CA2021

The Fourier Transform of Anisotropic Hardy Spaces with Variable Exponents and Their Applications

Wenhua Wang, Aiting Wang

Let $A$ be an expansive dilation on $R^{n}$ , and $p (\cdot) : R^{n} \to (0, \infty)$ be a variable exponent function satisfying the globally log-Hölder continuous…

math.CA2020

Molecular Decomposition of Anisotropic Hardy Spaces with Variable Exponents

Wenhua Wang, Xiong Liu, Aiting Wang +1

Let $A$ be an expansive dilation on $R^{n}$ , and $p (\cdot) : R^{n} \to (0, \infty)$ be a variable exponent function satisfying the globally log-Hölder continuous…

math.FA2020

Maximal Function Characterizations of Hardy Spaces on $R^{n}$ with Pointwise Variable Anisotropy

Aiting Wang, Wenhua Wang, Xinping Wang +1

In 2011, Dekel et al. developed highly geometric Hardy spaces $H^{p} (Θ)$ , for the full range $0 < p \leq 1$ , which are constructed by continuous multi-level ellipsoid covers $Θ$ of $\ma…

Herz-Type Hardy Spaces Associated with Ball Quasi-Banach Function Spaces

The Characterizations of Anisotropic Mixed-Norm Hardy Spaces on Rn by Atoms and Molecules

The dual spaces of variable anisotropic Hardy-Lorentz spaces and continuity of a class of linear operators

The Fourier Transform of Anisotropic Hardy Spaces with Variable Exponents and Their Applications

Molecular Decomposition of Anisotropic Hardy Spaces with Variable Exponents

Maximal Function Characterizations of Hardy Spaces on Rn with Pointwise Variable Anisotropy

The Characterizations of Anisotropic Mixed-Norm Hardy Spaces on $R^{n}$ by Atoms and Molecules

Maximal Function Characterizations of Hardy Spaces on $R^{n}$ with Pointwise Variable Anisotropy