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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Supported by the National Natural Science Foundation of China (Grant No. 10771054) and the Natural Science Foundation of Fujian Province of China (Grant No. Z0511004).
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Wu, H. Non-standard commutators for rough oscillatory singular integrals. Anal. Theory Appl. 25, 230–241 (2009). https://doi.org/10.1007/s10496-009-0230-9
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DOI: https://doi.org/10.1007/s10496-009-0230-9