Tbilisi Mathematical Journal

A characterization of weighted Besov spaces in quantum calculus

Akram Nemri and Belgacem Selmi

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In this paper, subspaces of $L^p(\mathbb{R}_{q,+})$ are defined using $q$-translations $T_{q,x}$ operator and $q$-differences operator, called $q$-Besov spaces. We provide characterization of these spaces by using the $q$-convolution product.

Article information

Tbilisi Math. J., Volume 9, Issue 1 (2016), 29-48.

Received: 16 September 2015
Accepted: 15 December 2015
First available in Project Euclid: 12 June 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 33D60: Basic hypergeometric integrals and functions defined by them
Secondary: 26D15: Inequalities for sums, series and integrals 33D05: $q$-gamma functions, $q$-beta functions and integrals 33D15: Basic hypergeometric functions in one variable, $_r\phi_s$ 33D90: Applications

$q$-theory $q$-weighted Besov spaces $q$-Caldeón's formula $q$-convolution product


Nemri, Akram; Selmi, Belgacem. A characterization of weighted Besov spaces in quantum calculus. Tbilisi Math. J. 9 (2016), no. 1, 29--48. doi:10.1515/tmj-2016-0004. https://projecteuclid.org/euclid.tbilisi/1528769040

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