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arXiv · 1711.04544

Volume estimates of sublevel sets of real polynomials

Nguyen Quang Dieu·Dau Hoang Hung·Tien Son Pham·Hoang Thieu Anh
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Abstract

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

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Nguyen Quang Dieu, Dau Hoang Hung, Tien Son Pham, Hoang Thieu Anh. 2017-11-13. Volume estimates of sublevel sets of real polynomials. https://arxiv.org/abs/1711.04544

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