We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Averaging operators over nondegenerate quadratic surfaces in finite fields.
- Authors
Doowon Koh
- Abstract
We study mapping properties of the averaging operator related to the variety V = {x ε Fqd : Q(x) = 0} where Q(x) is a nondegenerate quadratic polynomial over a finite field Fq with q elements. This paper is devoted to eliminating the logarithmic bound proved by Koh and Shen (to appear in Proc. Edinb. Math. Soc.). 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.
- Subjects
OPERATOR theory; FINITE fields; NON-degenerate perturbation theory; LOGARITHMIC functions; MATHEMATICAL bounds; TWO-dimensional models
- Publication
Forum Mathematicum, 2015, Vol 27, Issue 2, p1227
- ISSN
0933-7741
- Publication type
Article
- DOI
10.1515/forum-2012-0135