Hardy's type inequality associated with the Hankel transform for over-critical exponent

DOI10.1080/10652469.2010.497999zbMath1218.42004OpenAlexW2060997057MaRDI QIDQ3074592

Miloud Assal

Publication date: 9 February 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2010.497999

zbMATH Keywords

atomic decompositionHankel transformHardy spacesHardy's inequality

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) (H^p)-spaces (42B30)

Related Items (6)

Hardy's inequalities for the twisted convolution with Laguerre functions ⋮ An improved Hardy's inequality associated with the Laguerre Fourier transform ⋮ Hardy's inequality for the \(n\)-dimensional Hankel transform ⋮ Hardy's type inequality associated with the Laguerre Fourier transform ⋮ Hardy's inequalities for the Heisenberg group ⋮ Hardy's type inequality for the over critical exponent associated with the inverse Fourier Laguerre transform

Cites Work

• On an argument of Körner and Hardy's inequality
• On Hardy-type inequalities and Hankel transforms
• On regularity of twisted spherical means and special Hermite expansions
• Two-sided probabilistic versions of Hardy's inequality
• \(H^p\) spaces of several variables
• Hardy's Inequalities for Hermite and Laguerre Expansions
• Hardy’s inequalities for Hermite and Laguerre expansions

This page was built for publication: Hardy's type inequality associated with the Hankel transform for over-critical exponent