\(L^p\)-\(L^q\) estimates for convolution operators with \(n\)-dimensional singular measures
type: Item
instance of: scholarly article
title: \(L^p\)-\(L^q\) estimates for convolution operators with \(n\)-dimensional singular measures
zbMATH Open document ID: 0928.42004
DOI: 10.1007/BF02649108
published in: The Journal of Fourier Analysis and Applications
publication date: 1999-12-13T00:00:00Z
full work available at URL: https://eudml.org/doc/59518
review text: Let \(d\sigma\) denote a compactly supported smooth density on the graph \(x_{n+1}= \sum^n_{j=1}| x_j|^{a_j}\), here \(a_j>0\). The authors prove nearly sharp \(L^p\)-\(L^q\) estimates for the convolution \(d\sigma* f\). For endpoint results see the authors' paper [Colloq. Math. 76, No. 1, 35-47 (1998; Zbl 0915.42009)].
Mathematics Subject Classification ID: 42B15
Mathematics Subject Classification ID: 42B20
zbMATH DE Number: 1079114
zbMATH Keywords: singular measures
zbMATH Keywords: \(L^p\)-\(L^q\) estimates
zbMATH Keywords: convolution
author: E. Ferreyra
author: T. Godoy
author: M. Urciuolo
reviewed by: Andreas Seeger
MaRDI profile type: Publication
cites work: Inversion in some algebras of singular integral operators
cites work: The work of José Luis Rubio de Francia. III
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OpenAlex ID: W2086050213
description: scientific article; zbMATH DE number 1079114