A note on maximal singular integrals with rough kernels

A note on maximal singular integrals with rough kernels

Abstract In this note we study the maximal singular integral operators associated with a homogeneous mapping with rough kernels as well as the corresponding maximal operators. The boundedness and continuity on the Lebesgue spaces, Triebel–Lizorkin spaces, and Besov spaces are established for the abo...

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Bibliographic Details
Main Authors: Xiao Zhang, Feng Liu
Format: Article
Language:English
Published: SpringerOpen 2020-10-01
Series:Journal of Inequalities and Applications
Subjects:
Maximal singular integral
Maximal operator
H 1 ( S n − 1 ) $H^{1}({\mathrm{S}}^{n-1})$
Homogeneous mapping
Triebel–Lizorkin space
Online Access:http://link.springer.com/article/10.1186/s13660-020-02504-8

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http://link.springer.com/article/10.1186/s13660-020-02504-8

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