Algebras of Calderón-Zygmund Operators on RD Spaces

Abstract

In this paper, by establishing the boundedness of Calderón-Zygmund operators on test functions over RD spaces, and applying the discrete Calderón type reproducing formula, the authors obtain the algebras of Calderón-Zygmund operators on RD spaces provided that $T(1)=T^{*}(1)=0$.

Keywords:

• Calderón-Zygmund operator
• RD spaces
• test function
• the discrete Calderón type reproducing formula

2020 MATHEMATICS SUBJECT CLASSIFICATION:

• 42B20
• 42B35
• 46F05

Additional information

Funding

The authors are supported by Zhejiang Provincial Natural Science Foundation of China (Grant No. LY24A010016), National Natural Science Foundation of China (Grant Nos. 12271483, 11701513, 12326307, 12326308)