Multilinear singular integrals and their commutators with nonsmooth kernels on weighted Morrey spaces
type: Item
instance of: scholarly article
title: Multilinear singular integrals and their commutators with nonsmooth kernels on weighted Morrey spaces
zbMATH Open document ID: 1291.42014
DOI: 10.1155/2013/280401
author: Songbai Wang
author: Yinsheng Jiang
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: Some multilinear maximal functions and the generalized Calderón-Zygmund operators and their commutators with nonsmooth kernels are studied. The purpose of this paper is to establish that these operators are bounded on certain product Morrey spaces \(L^{p,k}(\mathbb R^n)\). Based on the boundedness of these operators from \(L^{p_1}(\omega_1)\times\cdots\times L^{p_m}(\omega_m)\) to \(L^p(\prod^m_{j=1}\omega_j^{p/p_j})\), we obtained that they are also bounded from \(L^{p_1,k}(\omega_1)\times\cdots\times L^{p_m,k}(\omega_m)\) to \(L^{p,k}(\prod^m_{j=1}\omega_j^{p/p_j})\) with \(0<k<1\), \(1<p_j<\infty\), \(1/p=1/p_1+\dots +1/p_m\) and \(\omega_j \in A_{p_j}\), \(j=1,\dots,m\).
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B25
zbMATH DE Number: 6306597
zbMATH Keywords: multilinear singular integrals
zbMATH Keywords: multilinear maximal functions
zbMATH Keywords: nonsmooth kernels
zbMATH Keywords: commutators
zbMATH Keywords: weighted Morrey spaces
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/280401
OpenAlex ID: W2155111099
Wikidata QID: Q58915793
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description: scientific article; zbMATH DE number 6306597