Zeitschrift für Analysis und ihre Anwendungen

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Volume 28, Issue 3, 2009, pp. 333–347
DOI: 10.4171/ZAA/1388

Local Tb Theorem on Spaces of Homogeneous Type

Chaoqiang Tan[1] and Lixin Yan[2]

(1) Department of Mathematics, Shantou University, 515063, SHANTOU, GUANGDONG, CHINA
(2) Department of Mathematics, Zhongshan University, 510275, GUANGZHOU, GUANGDONG, CHINA

In this article, we obtain a local Tb theorem for singular integral operators on spaces of homogeneous type by using tree selection algorithm of the dyadic model and the BCR algorithm, which extends an earlier result of M. Christ [Colloq. Math. 60/61 (1990), 601–628].

Keywords: Local Tb theorem, singular integral operators, trees, BCR algorithm, spaces of homogeneous type

Tan Chaoqiang, Yan Lixin: Local Tb Theorem on Spaces of Homogeneous Type. Z. Anal. Anwend. 28 (2009), 333-347. doi: 10.4171/ZAA/1388