Fractional Hardy inequalities and visibility of the boundary

• Autorzy: Lizaveta Ihnatsyeva , Juha Lehrbäck , Heli Tuominen , Antti V. Vähäkangas
• Języki publikacji: EN

Abstrakty

EN

We prove fractional order Hardy inequalities on open sets under a combined fatness and visibility condition on the boundary. We demonstrate by counterexamples that fatness conditions alone are not sufficient for such Hardy inequalities to hold. In addition, we give a short exposition of various fatness conditions related to our main result, and apply fractional Hardy inequalities in connection with the boundedness of extension operators for fractional Sobolev spaces.

Kategorie tematyczne

• 26D15: Inequalities for sums, series and integrals
• 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: 2014
• Tom: 224
• Numer: 1
• Strony: 47-80

Daty

wydano

2014

Twórcy

autor

Lizaveta Ihnatsyeva

• Department of Mathematics and Systems Analysis, Aalto University, P.O. Box 11100, FI-00076 Aalto, Finland
• Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35 (MaD), FI-40014 University of Jyväskylä, Finland

autor

Juha Lehrbäck

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

autor

Heli Tuominen

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

autor

Antti V. Vähäkangas

• Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, FI-00014 University of Helsinki, Finland
• Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35 (MaD), FI-40014 University of Jyväskylä, Finland

Identyfikatory

DOI

10.4064/sm224-1-3