L-P-SOBOLEV REGULARITY FOR INTEGRAL OPERATORS OVER CERTAIN HYPERSURFACES

초록

In this paper we establish sharp L-P-regularity estimates for averaging operators with convolution kernel associated to hypersurfaces in R-d(d >= 2) of the form y bar right arrow (y, gamma(y)) where y is an element of Rd-1 and gamma(y) = Sigma(d-1)(i=1) +/- vertical bar y(i)vertical bar(mi) with 2 <= m(1) <= ... <= m(d-1) m(i)

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