On the Maz'ya-Shaposhnikova formula in Orlicz-Sobolev spaces on Carnot groups

Abstract

In this note we study the limit as $s\downarrow 0$ of fractional Orlicz-Sobolev seminorms in Carnot groups. This closes the study started in [10]

arXiv commentPaper retired due to a technical problem with the main proof

References in corpus (1)

• Approximations of Sobolev norms in Carnot groups

Cited by in corpus (1)

• Maz'ya-Shaposhnikova formula in Magnetic Fractional Orlicz-Sobolev spaces