Sobolev-type spaces from generalized Poincaré inequalities

• Autorzy: Toni Heikkinen , Pekka Koskela , Heli Tuominen
• Języki publikacji: EN

Abstrakty

EN

We define a Sobolev space by means of a generalized Poincaré inequality and relate it to a corresponding space based on upper gradients.

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
• 26D10: Inequalities involving derivatives and differential and integral operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 181
• Numer: 1
• Strony: 1-16

Daty

wydano

2007

Twórcy

autor

Toni Heikkinen

• Department of Mathematics and Statistics, P.O. Box 35, FI-40014 University of Jyväskylä, Finland

autor

Pekka Koskela

• Department of Mathematics and Statistics, P.O. Box 35, FI-40014 University of Jyväskylä, Finland

autor

Heli Tuominen

• Department of Mathematics and Statistics, P.O. Box 35, FI-40014 University of Jyväskylä, Finland

Identyfikatory

DOI

10.4064/sm181-1-1