The Tb-theorem on non-homogeneous spaces
Copyright policy )The Tb-theorem on non-homogeneous spaces
This paper is a continuation of a series by the authors [especially, Duke Math. J. 113, No. 2, 259--312 (2002; Zbl 1055.47027)] in developing the theory of Calderón-Zygmund operators in non-homogeneous spaces. In this paper, \(T1\) and \(Tb\) theorems à la David-Journé-Semmes [\textit{G. David, J. L. Journé} and \textit{S. Semmes}, Rev. Mat. Iberoam. 1, No. 4, 1--56 (1985; Zbl 0604.42014)] are proved. The main result (Theorem 0.4) is stated as follows: Let \(1
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Integral operators, Singular and oscillatory integrals (Calderón-Zygmund, etc.), Maximal functions, Littlewood-Paley theory, weak boundedness, weak accretivity, Blaschke products, etc., non-homogeneous space, Calderón-Zygmund operator, BMO
Integral operators, Singular and oscillatory integrals (Calderón-Zygmund, etc.), Maximal functions, Littlewood-Paley theory, weak boundedness, weak accretivity, Blaschke products, etc., non-homogeneous space, Calderón-Zygmund operator, BMO
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