Norm decay rates of the Fourier oscillatory integral operators for a class of homogeneous-type polynomial hybrid phases
This paper presents a new approach to the L2(R) norm decay rates of the Fourier oscillatory integral operators for some classes of degenerate phases. In particular, the sharp norm decay rates of the Fourier oscillatory integral operators for homogeneous-type polynomial phases, and those for a class...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-11-01
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| Series: | Results in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590037424000839 |
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| author | Tuan Anh Pham Nhat Huy Vu Minh Tuan Nguyen |
| author_facet | Tuan Anh Pham Nhat Huy Vu Minh Tuan Nguyen |
| author_sort | Tuan Anh Pham |
| collection | DOAJ |
| description | This paper presents a new approach to the L2(R) norm decay rates of the Fourier oscillatory integral operators for some classes of degenerate phases. In particular, the sharp norm decay rates of the Fourier oscillatory integral operators for homogeneous-type polynomial phases, and those for a class of nonsmooth polynomial hybrid phase functions are obtained. |
| format | Article |
| id | doaj-art-aa23e75a785c46cf8f373136ed9f0af2 |
| institution | Kabale University |
| issn | 2590-0374 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Applied Mathematics |
| spelling | doaj-art-aa23e75a785c46cf8f373136ed9f0af22024-12-17T05:00:29ZengElsevierResults in Applied Mathematics2590-03742024-11-0124100513Norm decay rates of the Fourier oscillatory integral operators for a class of homogeneous-type polynomial hybrid phasesTuan Anh Pham0Nhat Huy Vu1Minh Tuan Nguyen2Dept. of Math. Ana., University of Transport and Communications, 3 Cau Giay str., Dong Da dist., Ha Noi, Viet NamDept. of Math., VNU University of Science, Viet Nam National University, 334 Nguyen Trai str., Thanh Xuan dist., Ha Noi, Viet NamDept. of Math., VNU University of Education, Viet Nam National University, G7 Build., 144 Xuan Thuy rd., Cau Giay dist., Ha Noi, Viet Nam; Corresponding author.This paper presents a new approach to the L2(R) norm decay rates of the Fourier oscillatory integral operators for some classes of degenerate phases. In particular, the sharp norm decay rates of the Fourier oscillatory integral operators for homogeneous-type polynomial phases, and those for a class of nonsmooth polynomial hybrid phase functions are obtained.http://www.sciencedirect.com/science/article/pii/S2590037424000839Almost orthogonal theoremFourier oscillatory integralsNorm decay rate |
| spellingShingle | Tuan Anh Pham Nhat Huy Vu Minh Tuan Nguyen Norm decay rates of the Fourier oscillatory integral operators for a class of homogeneous-type polynomial hybrid phases Results in Applied Mathematics Almost orthogonal theorem Fourier oscillatory integrals Norm decay rate |
| title | Norm decay rates of the Fourier oscillatory integral operators for a class of homogeneous-type polynomial hybrid phases |
| title_full | Norm decay rates of the Fourier oscillatory integral operators for a class of homogeneous-type polynomial hybrid phases |
| title_fullStr | Norm decay rates of the Fourier oscillatory integral operators for a class of homogeneous-type polynomial hybrid phases |
| title_full_unstemmed | Norm decay rates of the Fourier oscillatory integral operators for a class of homogeneous-type polynomial hybrid phases |
| title_short | Norm decay rates of the Fourier oscillatory integral operators for a class of homogeneous-type polynomial hybrid phases |
| title_sort | norm decay rates of the fourier oscillatory integral operators for a class of homogeneous type polynomial hybrid phases |
| topic | Almost orthogonal theorem Fourier oscillatory integrals Norm decay rate |
| url | http://www.sciencedirect.com/science/article/pii/S2590037424000839 |
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