Optimal Sobolev imbedding spaces

• Autorzy: Ron Kerman , Luboš Pick
• Języki publikacji: EN

Abstrakty

EN

This paper continues our study of Sobolev-type imbedding inequalities involving rearrangement-invariant Banach function norms. In it we characterize when the norms considered are optimal. Explicit expressions are given for the optimal partners corresponding to a given domain or range norm.

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: 192
• Numer: 3
• Strony: 195-217

Daty

wydano

2009

Twórcy

autor

Ron Kerman

• Department of Mathematics, Brock University, 500 Glenridge Avenue, St. Catharines, Ontario, Canada L2S 3A1

autor

Luboš Pick

• Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic

Identyfikatory

DOI

10.4064/sm192-3-1