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Maximal commutators of BMO functions and singular integral operators with non-smooth kernels on spaces of homogeneous type. (English) Zbl 1170.42009
Authors’ abstract: Let 𝒳 be a space of homogeneous type in the sense of Coifman and Weiss. In this paper, via a new Cotlar type inequality linking commutators and corresponding maximal operators, a weighted L p (𝒳) estimate with general weights and a weak type endpoint estimate with A 1 (𝒳) weights are established for maximal operators corresponding to commutators of BMO(𝒳) functions and singular integral operators with non-smooth kernels.
42B30H p -spaces (Fourier analysis)
42B35Function spaces arising in harmonic analysis
42B20Singular and oscillatory integrals, several variables
45E99Singular integral equations
47B38Operators on function spaces (general)
47G10Integral operators