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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:On the Gauss maps of complete minimal surfaces in Rm
Rm 完全极小曲面 高斯映射
2023/12/11
Fix an integer d > 0. In 2008, Chantal David and Tom Weston showed that, on average, an elliptic curve over Q picks up a nontrivial p-torsion point defined over a finite extension K of the p-adics of ...
On Rough Singular Integrals Along Surfaces on Product Domains
Singular Integrals Product Domains
2010/2/26
In this paper, we study a class of singular integrals along surfaces on product domains with kernels in L(log L)2(Sn-1 \times Sm-1). We formulate a general theorem concerning the Lp boundedness of the...
On Marcinkiewicz Integrals along flat surfaces
Marcinkiewicz integral rough kernels flat curves Fourier transform area integral Littlewood-Paley gl* functions
2010/2/26
In this paper, we study Marcinkiewicz integral operators with rough kernels supported by surfaces given by flat curves. Under convexity assumptions on our surfaces, we establish an Lp boundedness resu...