Xiaosheng Lin

activity

20212026

most citedBrezis--Van Schaftingen--Yung Formulae in Ball Banach Function Spaces with Applications to Fractional Sobolev and Gagliardo--Nirenberg Inequalities

2 citations · 2 across the 9 of their papers we have counts for

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5 papers · 1 filter

math.FA2026

Local Hardy Spaces Associated with Operators and Ball Quasi-Banach Function Spaces on Doubling Metric Measure Spaces and Their Applications

Xiaosheng Lin, Xiaotian Zhu

Let $(X, d, μ)$ be a doubling metric measure space, $X$ a ball quasi-Banach function space on $X$ , and $L$ a non-negative self-adjoint operator on $L^2(\mathcal{X…

math.FA2026

Compactness and Its Applications of Sobolev Spaces Associated with Ball Banach Function Spaces

Xiaosheng Lin, Dachun Yang, Wen Yuan +1

Let $N \in N \cap [2, \infty),$ $Ω$ be a bounded Lipschitz domain in $R^{N}$ , and $X (Ω)$ be a ball Banach function space on $Ω.$ In this article, under some mild assumpt…

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.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…

math.FA2021

Poincaré Inequality Meets Brezis--Van Schaftingen--Yung Formula on Metric Measure Spaces

Feng Dai, Xiaosheng Lin, Dachun Yang +2

Let $(X, ρ, μ)$ be a metric measure space of homogeneous type which supports a certain Poincaré inequality. Denote by the symbol $\mathcal{C}_{\mathrm{c}}^\ast(\mathcal{X…