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Uncertainty Principles and Extremal Functions for Bessel Multiplier Operators in Quantum Calculus

Year: 2025

Type: article

Abstract: Using the q-Jackson integral and some elements of the q-harmonic analysis associated with the q-Bessel operator for fixed 0 < q < 1, we introduce the q-Bessel multiplier operators and we give some new results related to these operators as Plancherel’s, Calderón’s reproducing formulas and Heisenberg’s, Donoho-Stark’s uncertainty principles. Next, using the theory of reproducing kernels we give best estimates and an integral representation of the extremal functions related to these operators on weighted Sobolev spaces.

Source: European Journal of Mathematical Analysis

DOI: 10.28924/ada/ma.5.8

Authors: Ahmed Chana, Abdellatif Akhlidj

Institution: University of Hassan II Casablanca

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409045373

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