Tian Liang

activity

20192023

collaborators

3 papers

math.FA2023

A $(ϕ_{\frac{n}{s}}, ϕ)$ -Poincaré inequality in John domain

Shangying Feng, Tian Liang

Let $Ω$ be a bounded domain in $R^{n}$ with $n \geq 2$ and $s \in (0, 1)$ . Assume that $ϕ : [0, \infty) \to [0, \infty)$ be a Young function obeying the doubling condition with the…

math.FA2020

Fractional Orlicz-Sobolev extension/imbedding on Ahlfors $n$ -regular domains

Tian Liang

In this paper we build up a criteria for fractional Orlicz-Sobolev extension and imbedding domains on Ahlfors $n$ -regular domains.

math.FA2019

Orlicz-Besov extension and Ahlfors $n$ -regular domains

Tian Liang, Yuan Zhou

Let $n \geq 2$ and $ϕ: [0,\fz) \to [0,\infty)$ be a Young's function satisfying $sup_{x > 0} \int_{0}^{1} \frac{ϕ ( t x )}{ϕ ( x )} \frac{d t}{t ^{n + 1}} < \infty.$ We show that Ahlfors $n$ -regular…

A (ϕsn​​,ϕ)-Poincaré inequality in John domain

Fractional Orlicz-Sobolev extension/imbedding on Ahlfors n-regular domains

Orlicz-Besov extension and Ahlfors n-regular domains

A $(ϕ_{\frac{n}{s}}, ϕ)$ -Poincaré inequality in John domain

Fractional Orlicz-Sobolev extension/imbedding on Ahlfors $n$ -regular domains

Orlicz-Besov extension and Ahlfors $n$ -regular domains