Hardy inequalities in fractional Orlicz–Sobolev spaces

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2022 Hardy inequalities in fractional Orlicz–Sobolev spaces

Ariel M. Salort

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Abstract

In this article we prove both norm and modular Hardy inequalities for class functions in one-dimensional fractional Orlicz–Sobolev spaces.

Ariel M. Salort. "Hardy inequalities in fractional Orlicz–Sobolev spaces." Publ. Mat. 66 (1) 183 - 195, 2022. https://doi.org/10.5565/PUBLMAT6612207

Received: 2 March 2020; Accepted: 14 September 2020; Published: 2022

First available in Project Euclid: 4 January 2022

Digital Object Identifier: 10.5565/PUBLMAT6612207

Subjects:

Primary: 35R11 , 45G05 , 46E30

Keywords: fractional order Sobolev spaces , g-Laplace operator , nonlocal eigenvalues , nonlocal Hardy inequalities

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