Commutators of BMO functions and singular integral operators with non-smooth kernels on spaces of Homogeneous type of finite measure |
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| Authors: | Donggao G Deng Yanbo B Xu Lixin Y Yan |
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| Institution: | 1. Department of Mathematics Zhongshan University Guangzhou, 510275, P. R. China
2. Department Huaihai Institute of Technology Liangyungang, Mathematics and Physics, 222005, Jiangsu, P. R. China
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| Abstract: | Let X be a space of homogeneous type with finite measure. Let T be a singular integral operator which is bounded on Lp(X), 1 < p < ∞. We give a sufficient condition on the kernel k(x, y) of T so that when a function b ε BMO (X), the commutator
b, T] (f) = T (bf) ? bT (f) is bounded on spaces Lp for all p, 1< p < ∞. |
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| Keywords: | commutator homogeneous space BMO function singular integral operator MEASURE FINITE SPACES OF HOMOGENEOUS TYPE KERNELS SINGULAR INTEGRAL OPERATORS FUNCTIONS spaces commutator function sufficient condition kernel singular integral operator bounded space of homogeneous type finite measure |
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