On the boundedness of periodic Fourier integral operators in Lebesgue spaces with variable exponent
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909357760839680 |
|---|---|
| author | Tai, Boukary Congo, Mohamed Ouedraogo, Marie Françoise Ouedraogo, Arouna |
| author_facet | Tai, Boukary Congo, Mohamed Ouedraogo, Marie Françoise Ouedraogo, Arouna |
| contents | The aim of this paper is to investigate the boundedness of periodic Fourier integral operators in Lebesgue spaces with variable exponent $L^{p(\cdot)}$ on the $n$-dimensional torus. We deal with operators of type $(ρ, δ)$ which symbols belong to the Hörmander class $S^{m}_{ρ, δ}(\mathbb{T}^{n}\times\mathbb{Z}^{n})$ for $0\leqδ<ρ\leq1.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_16085 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the boundedness of periodic Fourier integral operators in Lebesgue spaces with variable exponent Tai, Boukary Congo, Mohamed Ouedraogo, Marie Françoise Ouedraogo, Arouna Functional Analysis The aim of this paper is to investigate the boundedness of periodic Fourier integral operators in Lebesgue spaces with variable exponent $L^{p(\cdot)}$ on the $n$-dimensional torus. We deal with operators of type $(ρ, δ)$ which symbols belong to the Hörmander class $S^{m}_{ρ, δ}(\mathbb{T}^{n}\times\mathbb{Z}^{n})$ for $0\leqδ<ρ\leq1.$ |
| title | On the boundedness of periodic Fourier integral operators in Lebesgue spaces with variable exponent |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2410.16085 |