Abstract
In this article we prove both norm and modular Hardy inequalities for class functions in one-dimensional fractional Orlicz–Sobolev spaces.
Citation
Ariel M. Salort. "Hardy inequalities in fractional Orlicz–Sobolev spaces." Publ. Mat. 66 (1) 183 - 195, 2022. https://doi.org/10.5565/PUBLMAT6612207
Information
Received: 2 March 2020; Accepted: 14 September 2020; Published: 2022
First available in Project Euclid: 4 January 2022
MathSciNet: MR4366211
zbMATH: 1493.46049
Digital Object Identifier: 10.5565/PUBLMAT6612207
Subjects:
Primary:
35R11
,
45G05
,
46E30
Keywords:
fractional order Sobolev spaces
,
g-Laplace operator
,
nonlocal eigenvalues
,
nonlocal Hardy inequalities
Rights: Copyright © 2022 Universitat Autònoma de Barcelona, Departament de Matemàtiques
