Non-standard commutators for rough oscillatory singular integrals |
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| Authors: | Huoxiong Wu |
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| Affiliation: | Xiamen University, China |
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| Abstract: | In this paper, the author studies a class of non-standard commutators with higher order remainders for oscillatory singular integral operators with phases more general than polynomials. For 1 < p < ∞, the L p -boundedness of such operators are obtained provided that their kernels belong to the spaces L q (S n−1) for some q > 1. |
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| Keywords: | commutator oscillatory singular integral rough kernel |
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