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تسجيل مستخدم جديدBilinear Hilbert transforms along curves I. The monomial case
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تأليف
Xiaochun Li
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We establish an L^2 times L^2 to L^1 estimate for the bilinear Hilbert transform along a curve defined by a monomial. Our proof is closely related to multi-linear oscillatory integrals.
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The Hilbert transforms associated with monomial curves have a natural non-isotropic structure. We study the commutator of such Hilbert transforms and a symbol $b$ and prove the upper bound of this commutator when $b$ is in the corresponding non-isotr
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