调制空间上的多线性傅里叶积分算子

IF 1 3区数学 Q1 MATHEMATICS

Forum Mathematicum Pub Date : 2024-01-04 DOI:10.1515/forum-2023-0158

Aparajita Dasgupta, Lalit Mohan, Shyam Swarup Mondal

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引用次数: 0

摘要

本文研究加权调制空间上的多线性傅里叶积分算子的性质。特别是，利用 Gabor 框架理论，我们研究了加权调制空间乘积上多线性傅里叶积分算子的有界性。此外，我们还研究了周期性多线性傅里叶积分算子。最后，我们研究了某些符号类（即𝐒𝐆 {\mathbf{SG}} -类）调制空间上双线性伪微分算子的连续性。 -类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Multilinear Fourier integral operators on modulation spaces

In this article, we study properties of multilinear Fourier integral operators on weighted modulation spaces. In particular, using the theory of Gabor frames, we study boundedness of multilinear Fourier integral operators on products of weighted modulation spaces. Further, we investigate the periodic multilinear Fourier integral operator. Finally, we study continuity of bilinear pseudo-differential operators on modulation spaces for certain symbol classes, namely 𝐒𝐆

{\mathbf{SG}}

-class.

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来源期刊

Forum Mathematicum 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Forum Mathematicum is a general mathematics journal, which is devoted to the publication of research articles in all fields of pure and applied mathematics, including mathematical physics. Forum Mathematicum belongs to the top 50 journals in pure and applied mathematics, as measured by citation impact.