TL;DR
This paper investigates the Sobolev extension property of Lp-quasidisks, generalizing classical quasidisks, and explores applications of this property in related mathematical contexts.
Contribution
It introduces the Sobolev extension property for Lp-quasidisks and demonstrates its applications, extending the understanding of geometric function theory.
Findings
Lp-quasidisks possess the Sobolev extension property
Applications of Sobolev extension property are identified in geometric analysis
Generalization of classical quasidisks to Lp-quasidisks is established
Abstract
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 their Sobolev extension property.
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Taxonomy
TopicsAnalytic and geometric function theory · Nonlinear Partial Differential Equations · Geometric Analysis and Curvature Flows