Zheng Zhu

activity

20182022

most citedDeformations of Bi-conformal Energy and a new Characterization of Quasiconformality

12 citations · 17 across the 11 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.AP2021

The extension property for domains with one singular point

Pekka Koskela, Zheng Zhu

An arbitrary outward cuspidal domain is shown to be bi-Lipschitz equivalent to a Lipschitz outward cuspidal domain via a global transformation. This allows us to extend earlier Sob…

math.FA2021

Bi-Lipschitz invariance of planar $B V$ - and $W^{1, 1}$ -extension domains

Miguel García-Bravo, Tapio Rajala, Zheng Zhu

We prove that a bi-Lipschitz image of a planar $B V$ -extension domain is also a $B V$ -extension domain, and that a bi-Lipschitz image of a planar $W^{1, 1}$ -extension domain is again…

math.FA2021

Sobolev Extension on $L^{p}$ -Quasidisks

Zheng Zhu

In this paper, we study the Sobolev extension property of Lp-quasidisks which are the generalizations of the classical quasidisks. After that, we also find some applications of the…

math.FA2021

Pointwise inequalities for Sobolev functions on generalized cuspidal domains

Zheng Zhu

We establish point wise inequalities for Sobolev functions on a wider class of outward cuspidal domains. It is a generalization of an earlier result by the author and his collabora…

The extension property for domains with one singular point

Bi-Lipschitz invariance of planar BV- and W1,1-extension domains

Sobolev Extension on Lp-Quasidisks

Pointwise inequalities for Sobolev functions on generalized cuspidal domains

Bi-Lipschitz invariance of planar $B V$ - and $W^{1, 1}$ -extension domains

Sobolev Extension on $L^{p}$ -Quasidisks