BOUNDEDNESS OF SINGULAR INTEGRALS AND MAXIMAL SINGULAR INTEGRALS ON TRIEBEL–LIZORKIN SPACES-Reference-Cited by-同舟云学术

BOUNDEDNESS OF SINGULAR INTEGRALS AND MAXIMAL SINGULAR INTEGRALS ON TRIEBEL–LIZORKIN SPACES

Published:2010-02 Issue:02 Volume:21 Page:157-168
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

ZHANG CHUNJIE¹,CHEN JIECHENG²

Affiliation:

1. School of Science, Hangzhou Dianzi University, Hangzhou, P. R. China, 310018, P. R. China

2. Department of Mathematics, Zhejiang University, Hangzhou, P. R. China, 310027, P. R. China

Abstract

In this paper, assuming Ω ∈ H1(Sn-1), we prove that the singular integral TΩ and the maximal singular integral [Formula: see text] are all bounded on Triebel–Lizorkin spaces, homogeneous or inhomogeneous.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X10005982

Reference16 articles.

1. CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS

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4. Boundedness of rough oscillatory singular integral on Triebel–Lizorkin spaces

5. On the existence of singular integrals

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