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We establish some estimates on the hyper bilinear Hilbert transform on both Euclidean space and torus. We also use a transference method to obtain a
Kenig-Stein's estimate on bilinear fractional integrals on the n-torus.
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참고문헌 (17)
참고문헌 신청
A. Nahmod / 2006 / Sobolev space estimates and symbolic calculus for bilinear pseudodifferential operators / J. Geom. Anal.. 16 (3) : 431 ~ 453
C. Kenig / 1999 / Multilinear estimates and fractional integration / Math. Res. Lett. 6 (1) : 1 ~ 15
C. Muscalu / 2002 / Multi-linear operators given by singular multipliers / J. Amer. Math. Soc. 15 (2) : 469 ~ 496
C. Thiele / 2002 / Multilinear singular integrals, Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations / Publ. Mat. : 229
D. Fan / 2001 / Transference on certain multilinear multiplier operators / J. Aust. Math. Soc. 70 (1) : 37 ~ 55
C. Kenig / 1999 / Multilinear estimates and fractional integration / Math. Res. Lett. 6 (1) : 1 ~ 15
C. Muscalu / 2002 / Multi-linear operators given by singular multipliers / J. Amer. Math. Soc. 15 (2) : 469 ~ 496
C. Thiele / 2002 / Multilinear singular integrals, Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations / Publ. Mat. : 229
D. Fan / 2001 / Transference on certain multilinear multiplier operators / J. Aust. Math. Soc. 70 (1) : 37 ~ 55
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