15 citations · 37 across the 8 of their papers we have counts for
8 papers
Doubling measures and Poincaré inequalities for sphericalizations of metric spaces, with applications to -harmonic functions in unbounded domains
Anders Björn, Jana Björn, Xining Li
The identification between the complex plane and the Riemann sphere preserves holomorphic and harmonic functions and is a classical tool. In this paper we consider a similar mappin…
Sphericalization with its applications in Gromov hyperbolic spaces
Qingshan Zhou, Yaxiang Li, Xining Li
In this paper, we study certain applications of sphericalization in Gromov hyperbolic metric spaces. We first show that the doubling property regarding two classes of metrics on th…
Sphericalization and flattening with their applications in quasimetric measure spaces
Qingshan Zhou, Yaxiang Li, Xining Li
The main purpose of the note is to explore the invariant properties of sphericalization and flattening and their applications in quasi-metric spaces. We show that sphericalization…
Deformations on symbolic Cantor sets and ultrametric spaces
Qingshan Zhou, Xining Li, Yaxiang Li
By introducing new deformations on symbolic Cantor sets and ultrametric spaces, we prove that doubling ultrametric spaces admit bilipschitz embedding into Cantor sets. If in additi…
Traces of Newton-Sobolev, Hajlasz-Sobolev and BV functions on metric spaces
Panu Lahti, Xining Li, Zhuang Wang
We study the boundary traces of Newton-Sobolev, Hajlasz-Sobolev, and BV (bounded variation) functions. Assuming less regularity of the domain than is usually done in the literature…
Weighted Hardy Spaces of Quasiconformal Mappings
Sita Benedict, Pekka Koskela, Xining Li
We establish a weighted version of the -theory of quasiconformal mappings.