Pointwise inequalities for Sobolev functions on generalized cuspidal domains

TL;DR

This paper extends pointwise inequalities for Sobolev functions to a broader class of outward cuspidal domains, generalizing previous results and enhancing understanding of function behavior in complex geometric settings.

Contribution

The work introduces a generalized framework for pointwise inequalities applicable to a wider class of cuspidal domains, expanding prior theoretical results.

Findings

Established pointwise inequalities for Sobolev functions on generalized cuspidal domains

Extended previous results to a broader class of geometric domains

Enhanced theoretical understanding of Sobolev functions in complex geometries

Abstract

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 collaborators