Bergman-Toeplitz operators on weakly pseudoconvex domains

被引：11

作者：

Tran Vu Khanh ^{[1
]}

Liu, Jiakun ^{[1
]}

Phung Trong Thuc ^{[1
]}

机构：

[1] Univ Wollongong, Sch Math & Appl Stat, Inst Math & Its Applicat, Wollongong, NSW 2522, Australia

来源：

MATHEMATISCHE ZEITSCHRIFT | 2019年 / 291卷 / 1-2期

基金：

澳大利亚研究理事会;

关键词：

Bergman kernel; Berman projection; Bergman-Toeplitz operator; Schur's test; Pseudoconvex domain of finite type; KERNEL; DIFFERENTIABILITY;

D O I：

10.1007/s00209-018-2096-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that for certain classes of pseudoconvex domains of finite type, the Bergman-Toeplitz operator T-psi with symbol psi=K-alpha maps from L-p to L-q continuously with 1<p <= q< infinity if and only if alpha >= 1/p-1/q, where K is the Bergman kernel on diagonal. This work generalises the results on strongly pseudoconvex domains by Cuckovic and McNeal, and Abate, Raissy and Saracco.

引用

页码：591 / 607

页数：17

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