Fine behavior of functions whose gradients are in an Orlicz space
Jan Malý ; David Swanson ; William P. Ziemer
Studia Mathematica, Tome 192 (2009), p. 33-71 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:284824 
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Jan Malý; David Swanson; William P. Ziemer. Fine behavior of functions whose gradients are in an Orlicz space. Studia Mathematica, Tome 192 (2009) pp. 33-71. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm190-1-2/