Wen Yuan

collaborators

4 papers

math.FA2023

Hardy Spaces Associated with Non-Negative Self-Adjoint Operators and Ball Quasi-Banach Function Spaces on Doubling Metric Measure Spaces and Their Applications

Xiaosheng Lin, Dachun Yang, Sibei Yang +1

Let $(X, d, μ)$ be a doubling metric measure space in the sense of R. R. Coifman and G. Weiss, $L$ a non-negative self-adjoint operator on $L^{2} (X)$ satisfying the…

math.FA2023

Generalized Brezis--Van Schaftingen--Yung Formulae and Their Applications in Ball Banach Sobolev Spaces

Chenfeng Zhu, Dachun Yang, Wen Yuan

Let $X$ be a ball Banach function space on $R^{n}$ . In this article, under some mild assumptions about both $X$ and the boundedness of the Hardy--Littlewood maximal operator…

math.FA2022

Riesz Transform Characterization of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces

Fan Wang, Dachun Yang, Wen Yuan

Let $X$ be a ball quasi-Banach function space satisfying some mild assumptions and $H_{X} (R^{n})$ the Hardy space associated with $X$ . In this article, the authors introduce b…

math.FA2022

Maximal Function and Riesz Transform Characterizations of Hardy Spaces Associated with Homogeneous Higher Order Elliptic Operators and Ball Quasi-Banach Function Spaces

Xiaosheng Lin, Dachun Yang, Sibei Yang +1

Let $L$ be a homogeneous divergence form higher order elliptic operator with complex bounded measurable coefficients on $R^{n}$ and $X$ a ball quasi-Banach function space on…