Mathematics – Classical Analysis and ODEs
Scientific paper
2007-07-18
Mathematics
Classical Analysis and ODEs
final version, 10 pages, small typos corrected, one reference added. To appear in Math. Z
Scientific paper
Let Pd,n denote the space of all real polynomials of degree at most d on R^n.
We prove a new estimate for the logarithmic measure of the sublevel set of a
polynomial P in Pd,1. Using this estimate, we prove a sharp estimate for a
singular oscillatory integral on R^n.
Papadimitrakis Michael
Parissis I. R.
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