Riesz transforms associated to Bessel operators
type: Item
instance of: scholarly article
title: Riesz transforms associated to Bessel operators
zbMATH Open document ID: 1168.44003
author: M. Villani
published in: Illinois Journal of Mathematics
publication date: 2009-06-22T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ijm/1242414122
review text: From the author's abstract: For \(v>0\), the Bessel operator \(S_v\) defined on \(L^2({\mathbb R}^+, x^{2v} dx)\) is considered. The author proves, in a simple way, that the Riesz transform associated to \(S_v\) is bounded on \(L^p({\mathbb R}^+, x^{2v} dx)\), \(1<p<\infty\), with a constant only depending on \(p\). Also a weighted version is given and the constant is estimated.
Mathematics Subject Classification ID: 44A15
zbMATH DE Number: 5567364
zbMATH Keywords: Riesz transforms
zbMATH Keywords: Bessel operators
zbMATH Keywords: Hilbert transform
zbMATH Keywords: weighted norm inequalities
reviewed by: Kun Soo Chang
MaRDI profile type: Publication
cites work: Riesz transform and \(g\)-function associated with Bessel operators and their appropriate Banach spaces
cites work: Q3240964
cites work: Q4526789
cites work: Classical Expansions and Their Relation to Conjugate Harmonic Functions
cites work: Q3788827
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description: scientific article; zbMATH DE number 5567364