Fractional Hardy inequality with a remainder term

• Autorzy: Bartłomiej Dyda
• Języki publikacji: EN

Abstrakty

EN

We prove a Hardy inequality for the fractional Laplacian on the interval with the optimal constant and additional lower order term. As a consequence, we also obtain a fractional Hardy inequality with the best constant and an extra lower order term for general domains, following the method of M. Loss and C. Sloane [J. Funct. Anal. 259 (2010)].

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: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 122
• Numer: 1
• Strony: 59-67

Daty

wydano

2011

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

Identyfikatory

DOI

10.4064/cm122-1-6