Vector-valued singular integral operators on \(L^ p\)-spaces with mixed norms and applications
type: Item
instance of: scholarly article
title: Vector-valued singular integral operators on \(L^ p\)-spaces with mixed norms and applications
zbMATH Open document ID: 0634.42014
author: Diocesar L. Fernandez
published in: Pacific Journal of Mathematics
publication date: 1987-01-01T00:00:00Z
review text: We establish \(L^ p\) and \(L^ p(\ell^ Q)\) estimates for singular integral operators with variable operator-valued product kernels. Application to the strong maximal function, double Hilbert transform, Littlewood-Paley inequalities and Fourier multipliers for \(L^ p\)-spaces with mixed norm are given.
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B25
zbMATH DE Number: 4032316
zbMATH Keywords: singular integral operators
zbMATH Keywords: strong maximal function
zbMATH Keywords: double Hilbert transform
zbMATH Keywords: Littlewood-Paley inequalities
zbMATH Keywords: Fourier multipliers
zbMATH Keywords: \(L^ p\)- spaces
MaRDI profile type: Publication
full work available at URL: pjm.1987.129.257
OpenAlex ID: W2028594947
DOI: 10.2140/PJM.1987.129.257
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description: scientific article; zbMATH DE number 4032316