Weighted estimates for oscillatory singular integrals
Date
2013-05-13Metadata
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We establish uniform bounds for oscillatory singular integrals as well as oscillatory singular integral operators. We allow the singular kernel to be given by a function in the Hardy space H1(Sn-1), while such results were known previously only for kernels in L log L(Sn-1), a proper subspace of H1(Sn-1). One of our results established a Lp(w)→Lp(w) bound for certain weights. At the same time, it provides a solution to an open problem in Lu (2005). © 2013 H. Al-Qassem et al.
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