Boundedness and continuity of several integral operators with rough kernels in \(W \mathcal F_\beta (\mathrm S^{n-1})\) on Triebel-Lizorkin spaces
type: Item
instance of: scholarly article
title: Boundedness and continuity of several integral operators with rough kernels in \(W \mathcal F_\beta (\mathrm S^{n-1})\) on Triebel-Lizorkin spaces
zbMATH Open document ID: 1391.42018
DOI: 10.1155/2018/6937510
author: Feng Liu
published in: Journal of Function Spaces
publication date: 2018-05-15T00:00:00Z
review text: Summary: A systematic treatment is given of singular integrals and Marcinkiewicz integrals associated with surfaces generated by polynomial compound mappings as well as related maximal functions with rough kernels in \(W\mathcal F_\beta(S^{n-1})\), which relates to the Grafakos-Stefanov function class. Certain boundedness and continuity for these operators on Triebel-Lizorkin spaces and Besov spaces are proved by applying some criterions of bounds and continuity for several operators on the above function spaces.
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 42B35
zbMATH DE Number: 6868712
zbMATH Keywords: Marcinkiewicz integrals
zbMATH Keywords: Grafakos-Stefanov function class
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/6937510
OpenAlex ID: W2802519792
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description: scientific article; zbMATH DE number 6868712