In this paper, we establish the L^p （R-n＋1） boundedness for the commutators of singular integrals associated to surfaces of revolution, { （t,Ф （ ｜ t｜ ） ）： t ∈R^n }, with rough kernels Ω∈ L（IogL）^2（sn...In this paper, we establish the L^p （R-n＋1） boundedness for the commutators of singular integrals associated to surfaces of revolution, { （t,Ф （ ｜ t｜ ） ）： t ∈R^n }, with rough kernels Ω∈ L（IogL）^2（sn^-1）, if Ф（｜t｜） = ｜t｜.展开更多
In this paper, the authors establish the Lp-mapping properties of a class of singular integral operators along surfaces of revolution with rough kernels. The size condition on the kernels is optimal and much weaker th...In this paper, the authors establish the Lp-mapping properties of a class of singular integral operators along surfaces of revolution with rough kernels. The size condition on the kernels is optimal and much weaker than that for the classical Calderon-Zygmund singular integral operators.展开更多
基金supported by NSF of China(Grant No.11471033)NCET of China(Grant No.NCET-11-0574)the Fundamental Research Funds for the Central Universities(FRF-TP-12-006B)
文摘In this paper, we establish the L^p （R-n＋1） boundedness for the commutators of singular integrals associated to surfaces of revolution, { （t,Ф （ ｜ t｜ ） ）： t ∈R^n }, with rough kernels Ω∈ L（IogL）^2（sn^-1）, if Ф（｜t｜） = ｜t｜.
文摘In this paper, the authors establish the Lp-mapping properties of a class of singular integral operators along surfaces of revolution with rough kernels. The size condition on the kernels is optimal and much weaker than that for the classical Calderon-Zygmund singular integral operators.
