Sobolev-type spaces from generalized Poincaré inequalities
Volume 181 / 2007
Studia Mathematica 181 (2007), 1-16
MSC: Primary 46E35; Secondary 46E30, 26D10.
DOI: 10.4064/sm181-1-1
Abstract
We define a Sobolev space by means of a generalized Poincaré inequality and relate it to a corresponding space based on upper gradients.
