Volume estimates of sublevel sets of real polynomials

被引：2

作者：

Nguyen Quang Dieu ^{[1
]}

Dau Hoang Hung ^{[2
]}

Tien Son Pham ^{[3
]}

Hoang Thieu Anh ^{[4
]}

机构：

[1] Hanoi Natl Univ Educ, Hanoi, Vietnam

[2] Phan Boi Chau High Sch Gifted Students, Vinh, Nghe An, Vietnam

[3] Univ Dalat, Dept Math, 1 Phu Dong Thien Vuong, Da Lat, Vietnam

[4] Univ Transport & Commun, Fac Fundamental Sci, Hanoi, Vietnam

来源：

ANNALES POLONICI MATHEMATICI | 2018年 / 121卷 / 02期

关键词：

Lojasiewicz inequality; real algebraic sets; oscillatory integrals; volume estimates; CORPUT; VAN;

D O I：

10.4064/ap170913-25-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give upper bounds for the volume of sublevel sets of real polynomials. Our method is to combine a version of the global Lojasiewicz inequality with some well known estimates on the volume of tubes around real algebraic sets. Some applications to oscillatory integrals and integration indices of real polynomials are also given.

引用

页码：157 / 174

页数：18

共 14 条

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