A note on certain integrals along polynomial compound curves

Abstract In this paper we consider a singular integral operator and a parametric Marcinkiewicz integral operator with rough kernel. These operators have singularity along sets of the form curves {x=P(φ(|y|))y′} $\{x=P(\varphi (|y|))y'\}$, where P is a real polynomial satisfying P(0)=0 $P(0)=0$...

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Bibliographic Details
Main Authors: Feng Liu, Pu Zhang
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2023-9