Sobolev type spaces in quantum calculus

Akram Nemri; Belgacem Selmi; Nemri Akram

doi:10.1016/j.jmaa.2009.06.008

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Sobolev type spaces in quantum calculus

Akram Nemri, Belgacem Selmi and Nemri Akram

Journal of mathematical analysis and applications, Vol.359(2), pp.588-601

15/11/2009

DOI: https://doi.org/10.1016/j.jmaa.2009.06.008

Abstract

q-Cosine

q-Distributions

q-Sobolev spaces

Quantum calculus

In this paper q-Sobolev type spaces are defined on R q by using the q-cosine Fourier transform and its inverse. In particular, embedding results for these spaces are established. Next we define the q-cosine potential and study some of its properties.

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Details

Title: Sobolev type spaces in quantum calculus
Creators - without role: Akram Nemri - Tunis University
Belgacem Selmi - Laboratoire de Mathématiques d'Orsay
Nemri Akram - Jazan University
Publication Details: Journal of mathematical analysis and applications, Vol.359(2), pp.588-601
Publisher: Elsevier Inc
Identifiers: 9917478508331
Academic Unit: Jazan University
Language: English
Resource Type: Journal article