Fractional Hardy inequalities and visibility of the boundary
Abstract
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 to the boundedness of extension operators for fractional Sobolev spaces.
Main Authors
Format
Articles
Research article
Published
2014
Series
Subjects
Publication in research information system
Publisher
Polska Akademia Nauk
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201512144005Use this for linking
Review status
Peer reviewed
ISSN
0039-3223
DOI
https://doi.org/10.4064/sm224-1-3
Language
English
Published in
Studia mathematica
Citation
- Ihnatsyeva, L., Lehrbäck, J., Tuominen, H., & Vähäkangas, A. (2014). Fractional Hardy inequalities and visibility of the boundary. Studia mathematica, 224(1), 47-80. https://doi.org/10.4064/sm224-1-3
License
Copyright© Polska Akademia Nauk 2014. This is a final draft version of an article whose final and definitive form has been published by Polska Akademia Nauk. Published in this repository with the kind permission of the publisher.