具有积结构的新型傅里叶积分算子的有界性

arXiv - MATH - Functional Analysis Pub Date : 2024-08-06 DOI:arxiv-2408.03211

Chaoqiang Tan, Zipeng Wang

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引用次数: 0

摘要

我们研究了一类具有弱化符号的傅里叶积分算子，它们满足 $\R^n$ 中的多参数微分不等式。我们证明这些算子保留了经典的 $L^p$ 有界性和 $H^1$ 到 $L^1$ 有界性。值得注意的是，这里考虑的哈代空间是传统的单参数哈代空间，而不是乘积哈代空间。

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Boundedness of New Type Fourier Integral Operators with Product Structure

We investigate a class of Fourier integral operators with weakened symbols, which satisfy a multi-parameter differential inequality in $\R^n$. We establish that these operators retain the classical $L^p$ boundedness and the $H^1$ to $L^1$ boundedness. Notably, the Hardy space considered here is the traditional single-parameter Hardy space rather than a product Hardy space.

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arXiv - MATH - Functional Analysis

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