BOUNDS FOR VOLUMES OF SUB-LEVEL SETS OF POLYNOMIALS AND APPLICATIONS

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 convergence of singular integrals.

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Main Authors: Loi Le Ta, Minh Quy Pham
Format: Article
Language:English
Published: Dalat University 2022-01-01
Series:Tạp chí Khoa học Đại học Đà Lạt
Subjects:
Online Access:https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/875
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author Loi Le Ta
Minh Quy Pham
author_facet Loi Le Ta
Minh Quy Pham
author_sort Loi Le Ta
collection DOAJ
description 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 convergence of singular integrals.
format Article
id doaj-art-f7ce335c626b484fb20996476a7fc13b
institution Kabale University
issn 0866-787X
language English
publishDate 2022-01-01
publisher Dalat University
record_format Article
series Tạp chí Khoa học Đại học Đà Lạt
spelling doaj-art-f7ce335c626b484fb20996476a7fc13b2025-02-03T03:29:35ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2022-01-01263910.37569/DalatUniversity.12.2.875(2022)630BOUNDS FOR VOLUMES OF SUB-LEVEL SETS OF POLYNOMIALS AND APPLICATIONSLoi Le Ta0Minh Quy Pham1Dalat UniversityDalat UniversityIn 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 convergence of singular integrals.https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/875oscillatory integralpolynomialsingular integralsub-level set.
spellingShingle Loi Le Ta
Minh Quy Pham
BOUNDS FOR VOLUMES OF SUB-LEVEL SETS OF POLYNOMIALS AND APPLICATIONS
Tạp chí Khoa học Đại học Đà Lạt
oscillatory integral
polynomial
singular integral
sub-level set.
title BOUNDS FOR VOLUMES OF SUB-LEVEL SETS OF POLYNOMIALS AND APPLICATIONS
title_full BOUNDS FOR VOLUMES OF SUB-LEVEL SETS OF POLYNOMIALS AND APPLICATIONS
title_fullStr BOUNDS FOR VOLUMES OF SUB-LEVEL SETS OF POLYNOMIALS AND APPLICATIONS
title_full_unstemmed BOUNDS FOR VOLUMES OF SUB-LEVEL SETS OF POLYNOMIALS AND APPLICATIONS
title_short BOUNDS FOR VOLUMES OF SUB-LEVEL SETS OF POLYNOMIALS AND APPLICATIONS
title_sort bounds for volumes of sub level sets of polynomials and applications
topic oscillatory integral
polynomial
singular integral
sub-level set.
url https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/875
work_keys_str_mv AT loileta boundsforvolumesofsublevelsetsofpolynomialsandapplications
AT minhquypham boundsforvolumesofsublevelsetsofpolynomialsandapplications