解耦的函数空间

IF 1.2 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2026-04-01 DOI:10.1112/jlms.70503

Andrew Hassell, Pierre Portal, Jan Rozendaal, Po-Lam Yung

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引用次数: 0

摘要

我们引入新的函数空间lw s q，p (R n)$ \mathcal {L}_{W,s}^{q,p}(\mathbb {R}^{n})$，得到一个自然的重新表述q L p $\ well ^{q}L^{p}$解耦不等式对于球和光锥。这些空间在欧几里得半波传播算子下是不变的，但不是在所有傅立叶积分算子下都是不变的，除非p=q$ p=q$，在这种情况下，它们与傅立叶积分算子的Hardy空间重合。我们利用这些空间得到了经典分数阶积分定理和局部平滑估计的改进。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Function spaces for decoupling

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Function spaces for decoupling

We introduce new function spaces $L_{W, s}^{q, p} (R^{n})$ that yield a natural reformulation of the $ℓ^{q} L^{p}$ decoupling inequalities for the sphere and the light cone. These spaces are invariant under the Euclidean half-wave propagators, but not under all Fourier integral operators unless $p = q$ , in which case they coincide with the Hardy spaces for Fourier integral operators. We use these spaces to obtain improvements of the classical fractional integration theorem and local smoothing estimates.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.