A Bourgain-Brezis-Mironescu-Davila theorem in Carnot groups of step two

Garofalo, N; Tralli, G

Garofalo, N (通讯作者),Univ Padua, Dipartimento Ingn Civile & Ambientale DICEA, Via Marzolo 9, I-35131 Padua, Italy.

COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2023; 31 (2): 321

Abstract

In this note we prove the following theorem in any Carnot group of step two G: lim(s NE arrow 1/2) (1 - 2s)B-H,B-s(E) = 4/root pi B-H(E). Here, B-H(E)......

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