Fractional Hardy-Sobolev-Maz'ya inequality for domains

• Autorzy: Bartłomiej Dyda , Rupert L. Frank
• Języki publikacji: EN

Abstrakty

EN

We prove a fractional version of the Hardy-Sobolev-Maz'ya inequality for arbitrary domains and $L^{p}$ norms with p ≥ 2. This inequality combines the fractional Sobolev and the fractional Hardy inequality into a single inequality, while keeping the sharp constant in the Hardy inequality.

Kategorie tematyczne

• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
• 31C25: Dirichlet spaces
• 26D10: Inequalities involving derivatives and differential and integral operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 208
• Numer: 2
• Strony: 151-166

Daty

wydano

2012

Twórcy

autor

Bartłomiej Dyda

• Faculty of Mathematics, University of Bielefeld, Postfach 10 01 31, D-33501 Bielefeld, Germany
• Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

autor

Rupert L. Frank

• Department of Mathematics, Princeton University, Princeton, NJ 08544, U.S.A.

Identyfikatory

DOI

10.4064/sm208-2-3