Bounds for volumes of sub-level sets of polynomials and applications

2021/11/26 by Loi, Ta Lê, Pham, Minh Quy
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2111.13777

Abstract

In this paper, we present some explicit exponents in the estimates for the volumes of sub-level sets of polynomials on bounded sets, and applications to the decay of oscillatory integrals and the convergent of singular integrals.

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