Fine behavior of functions whose gradients are in an Orlicz space
Volume 190 / 2009
Studia Mathematica 190 (2009), 33-71
MSC: 46E30, 46E35.
DOI: 10.4064/sm190-1-2
Abstract
For functions whose derivatives belong to an Orlicz space, we develop their “fine” properties as a generalization of the treatment found in [MZ] for Sobolev functions. Of particular importance is Theorem 8.8, which is used in the development in [MSZ] of the coarea formula for such functions.
