科研之友
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摘要
We study mapping properties of the averaging operator related to the variety V= {x is an element of F-q(d) : Q(x) = 0}, where Q(x) is a nondegenerate quadratic polynomial over a finite field F-q with q elements. This paper is devoted to eliminating the logarithmic bound appearing in the paper of Koh and Shen. As a consequence, we settle down the averaging problems over the quadratic surfaces V in the case when the dimensions d >= 4 are even and V contains a d/2-dimensional subspace.
- 出版日期2015-3
