一类卷积型Calderón-Zygmund算子在端点Triebel-Lizorkin空间上的有界性

Boundedness of convolution-type Calderón-Zygmund operators on certain endpoint Triebel-Lizorkin spaces

本文主要研究了卷积型Calderón-Zygmund算子在一些端点空间上的有界性.在较弱的正则性条件下,利用原子-分子分解和基于n维Daubechies小波基的算子分析,建立了算子在端点Triebel-Lizorkin空间F0,q1上的有界性.

This paper focuses on the boundedness of convolution-type Calderón-Zygmund operators on certain endpoint spaces.We prove the boundedness on the endpoint Triebel-Lizorkin space F0,q1（2 q ∞） under a weakened regularity condition.The proof relies on the atomic-molecular decomposition and on the analysis of the operator which is based on the n-dimensional Daubechies wavelet basis.