Toeplitz operators on monomial polyhedra

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-08-16 DOI:10.1007/s10231-024-01495-3

Debraj Chakrabarti, Yanyan Tang, Shuo Zhang

引用次数: 0

Abstract

Monomial polyhedra are a class of bounded singular Reinhardt domains defined as sublevel sets of holomorphic monomials. In this paper, we completely characterize the \(L^p-L^q\) boundedness of the Toeplitz operators with radial symbols on monomial polyhedra. This work generalizes the previous results of Toeplitz operators on various generalized Hartogs triangles, as well as extends the recent work of the \(L^p\) regularity for the Bergman projection on monomial polyhedra.

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单项式多面体上的Toeplitz算子

单项式多面体是一类定义为全纯单项式的子水平集的有界奇异Reinhardt域。本文完整地刻画了单项式多面体上具有径向符号的Toeplitz算子的\(L^p-L^q\)有界性。本文推广了前人关于各种广义Hartogs三角形上Toeplitz算子的结果，并推广了最近关于单项式多面体上Bergman投影\(L^p\)正则性的研究。

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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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.