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Peer reviewed
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Liao, Fanghui; Wang, Yan; Li, Zhengyang
The Journal of geometric analysis, 04/2022, Volume: 32, Issue: 4Journal Article
In this paper, using continuous Calderón’s reproducing formulas, we obtain algebras of Calderón–Zygmund operators on spaces of homogenous type in the setting of both one parameter and bi-parameter. More precisely, all classical Calderón–Zygmund operators form an algebra when T ( 1 ) = T ∗ ( 1 ) = 0 and all product singular integral operators in Journé’s class form an algebra when T 1 ( 1 ) = T 1 ∗ ( 1 ) = T 2 ( 1 ) = T 2 ∗ ( 1 ) = 0 .
