Algebras of Calderón–Zygmund Operators Associated with Para-Accretive Functions on Spaces of Normal Homogeneous Type

descriptionPublicationkeyboard_double_arrow_right Article 21 Mar 2025 English Publisher:MDPI AGJournal:Mathematics, volume 13, page 1,030 (eissn: 2227-7390,

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Authors: Rong Liang; Taotao Zheng; Xiangxing Tao;

doi: 10.3390/math13071030

Algebras of Calderón–Zygmund Operators Associated with Para-Accretive Functions on Spaces of Normal Homogeneous Type

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Abstract

In this paper, by using several almost orthogonal estimates and a continuous Calderón reproducing formula associated with para-accretive functions, we obtain the algebras of generalized-product Calderón–Zygmund operators under the condition T1(b1)=T1*(b1)=T2(b2)=T2*(b2)=0.

Related Organizations

Zhejiang University of Science and Technology
China (People's Republic of)

Keywords

Calderón reproducing formula, para-accretive functions, QA1-939, space of normal homogeneous type, Mathematics, generalized-product Calderón–Zygmund operators

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