Fine behavior of functions whose gradients are in an Orlicz space

• Autorzy: Jan Malý , David Swanson , William P. Ziemer
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 190
• Numer: 1
• Strony: 33-71

Daty

wydano

2009

Twórcy

autor

Jan Malý

• Faculty of Mathematics and Physics, Charles University-KMA, Sokolovská 83, 186 75 Praha 8, Czech Republic
• PřF UJEP, 400 96 Ústí n. L., Czech Republic

autor

David Swanson

• Department of Mathematics, University of Louisville, Louisville, KY 40292, U.S.A.

autor

William P. Ziemer

• Department of Mathematics, Indiana University, Bloomington, IN 47405, U.S.A.

Identyfikatory

DOI

10.4064/sm190-1-2