混合规范空间上的福克投影

IF 1.1 3区数学 Q1 MATHEMATICS

Mediterranean Journal of Mathematics Pub Date : 2024-08-14 DOI:10.1007/s00009-024-02715-z

Yongqing Liu

引用次数: 0

摘要

在本文中，我们完全描述了对于 \(1\le p,q\le \infty \)，Fock 投影在 \(\mathbb {C}\) 上（最大）的（L^{p,q}\）有界性。作为应用，我们确定了全函数混合规范空间 \(F_\alpha ^{p,q}\) 的对偶空间，并提出了 \(F_\alpha ^{p,q}\) 的 Littlewood-Paley 公式的另一种证明。

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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Fock Projections on Mixed Norm Spaces

In this paper, we completely characterize \(L^{p,q}\)-boundedness of (maximal) Fock projections on \(\mathbb {C}\) for \(1\le p,q\le \infty \). As applications, we identify the dual space of mixed norm space \(F_\alpha ^{p,q}\) of entire functions and present an alternative proof of the Littlewood–Paley formula for \(F_\alpha ^{p,q}\).

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来源期刊

Mediterranean Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

261

审稿时长

6-12 weeks

期刊介绍： The Mediterranean Journal of Mathematics (MedJM) is a publication issued by the Department of Mathematics of the University of Bari. The new journal replaces the Conferenze del Seminario di Matematica dell’Università di Bari which has been in publication from 1954 until 2003. The Mediterranean Journal of Mathematics aims to publish original and high-quality peer-reviewed papers containing significant results across all fields of mathematics. The submitted papers should be of medium length (not to exceed 20 printed pages), well-written and appealing to a broad mathematical audience. In particular, the Mediterranean Journal of Mathematics intends to offer mathematicians from the Mediterranean countries a particular opportunity to circulate the results of their researches in a common journal. Through such a new cultural and scientific stimulus the journal aims to contribute to further integration amongst Mediterranean universities, though it is open to contribution from mathematicians across the world.