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

Rong Liang, Taotao Zheng and Xiangxing Tao ()
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Rong Liang: Department of Mathematics, Zhejiang University of Science and Technology, Hangzhou 310023, China
Taotao Zheng: Department of Mathematics, Zhejiang University of Science and Technology, Hangzhou 310023, China
Xiangxing Tao: Department of Mathematics, Zhejiang University of Science and Technology, Hangzhou 310023, China

Mathematics, 2025, vol. 13, issue 7, 1-26

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 T 1 ( b 1 ) = T 1 * ( b 1 ) = T 2 ( b 2 ) = T 2 * ( b 2 ) = 0 .

Keywords: generalized-product Calderón–Zygmund operators; para-accretive functions; Calderón reproducing formula; space of normal homogeneous type (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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