Optimal Sobolev imbedding spaces
Volume 192 / 2009
Studia Mathematica 192 (2009), 195-217
MSC: Primary 46E35; Secondary 46E30.
DOI: 10.4064/sm192-3-1
Abstract
This paper continues our study of Sobolev-type imbedding inequalities involving rearrangement-invariant Banach function norms. In it we characterize when the norms considered are optimal. Explicit expressions are given for the optimal partners corresponding to a given domain or range norm.
