On Nash and Carlson's inequalities for symmetric \(q\)-integral transforms

DOI10.1007/s11785-015-0523-2zbMath1350.33028OpenAlexW2463701425MaRDI QIDQ317817

Manel Hleili, Kamel Brahim

Publication date: 4 October 2016

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-015-0523-2

zbMATH Keywords

Carlson's inequality\(q\)-integral transformsNash's inequality

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Inequalities for sums, series and integrals (26D15) Basic hypergeometric integrals and functions defined by them (33D60)

Related Items (2)

Unnamed Item ⋮ Uncertainty principles for the q-bessel fourier transform

Cites Work

• The \(q\)-cosine Fourier transform and the \(q\)-heat equation
• The Navier-Stokes equation for an incompressible fluid in \(\mathbb{R}^ 2\) with a measure as the initial vorticity
• The \textit{q-j}\(_\alpha\) Bessel function
• Best constants in the L²-Nash inequality
• Continuity of Solutions of Parabolic and Elliptic Equations
• On q-Analogues of the Fourier and Hankel Transforms
• $q$-Analogue of the Dunkl transform on the real line
• On the $q$-Bessel Fourier transform
• Optimal trace Nash inequality
• Quantum calculus
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