CRITERIA FOR OPTIMAL GLOBAL INTEGRABILITY OF HAJLASZ-SOBOLEV FUNCTIONS

摘要

The author establishes some geometric criteria for a domain of R~n with n ≥ 2 to support a (pn/(n － ps),p)s-Hajlasz-Sobolev-Poincare imbedding with s ∈ (0,1] and p ∈ (n/(n + s), n/s) or an s-Hajlasz-Trudinger imbedding with s ∈ (0,1].