Geodesic
Fine behavior of functions whose gradients are in an Orlicz space
Jan Malý 1   ; David Swanson 2   ; William P. Ziemer 3
1 Faculty of Mathematics and Physics Charles University–KMA Sokolovská 83 186 75 Praha 8, Czech Republic and PřF UJEP 400 96 Ústí n. L., Czech Republic
2 Department of Mathematics University of Louisville Louisville, KY 40292, U.S.A.
3 Department of Mathematics Indiana University Bloomington, IN 47405, U.S.A.
Studia Mathematica, Tome 190 (2009) no. 1, pp. 33-71 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm190-1-2
Keywords: functions whose derivatives belong orlicz space develop their fine properties generalization treatment found sobolev functions particular importance theorem which development msz coarea formula functions

Jan Malý  1   ; David Swanson  2   ; William P. Ziemer  3

1 Faculty of Mathematics and Physics Charles University–KMA Sokolovská 83 186 75 Praha 8, Czech Republic and PřF UJEP 400 96 Ústí n. L., Czech Republic
2 Department of Mathematics University of Louisville Louisville, KY 40292, U.S.A.
3 Department of Mathematics Indiana University Bloomington, IN 47405, U.S.A. 
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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 190 (2009) no. 1, pp. 33-71. doi: 10.4064/sm190-1-2

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