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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Format: | Article |
Language: | English |
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Dalat University
2022-01-01
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Series: | Tạp chí Khoa học Đại học Đà Lạt |
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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 |