N 维经典哈托格三角形上伯格曼投影的弱型正则性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-03-21 DOI:10.1186/s13660-024-03119-z

Yi Li, Mengjiao Wang

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引用次数: 0

摘要

本文研究了 n 维经典哈托格三角形上伯格曼投影的弱型正则性。我们将 Huo-Wick 关于 2 维经典哈托格三角形的结果推广到 n 维经典哈托格三角形，并证明伯格曼投影在 $L^{q}$ 有界的上端点是弱类型的，但在 $L^{q}$ 有界的下端点不是弱类型的。

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Weak-type regularity for the Bergman projection over N-dimensional classical Hartogs triangles

In this paper, we study the weak-type regularity of the Bergman projection on n-dimensional classical Hartogs triangles. We extend the results of Huo–Wick on the 2-dimensional classical Hartogs triangle to the n-dimensional classical Hartogs triangle and show that the Bergman projection is of weak type at the upper endpoint of $L^{q}$ -boundedness but not of weak type at the lower endpoint of $L^{q}$ -boundedness.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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