Special Toeplitz operators on a class of bounded Hartogs domains

被引：0

作者：

Tang, Yanyan

Tu, Zhenhan

机构：

[1] Hosp Clin Univ Chile, Dept Med, Secc Reumatol, Santiago, Chile

[2] Univ Chile, Dept Psiquiatria & Salud Mental Norte, Fac Med, Santiago, Chile

来源：

ARCHIV DER MATHEMATIK | 2020年 / 148卷 / 06期

关键词：

Hartogs domains; L-p - L-q boundedness; Toeplitz operator; L-P BOUNDEDNESS; BERGMAN PROJECTION; SZEGO PROJECTIONS;

D O I：

暂无

中图分类号：

R5 [内科学];

学科分类号：

1002 ; 100201 ;

摘要：

We introduce a wide class of bounded Hartogs domains in Cn, which contains some generalizations of the classical Hartogs triangle. A sharp criterion for the Lp-Lq boundedness of the Toeplitz operator with the symbol K-t is obtained on these domains, where K is the Bergman kernel on the diagonal and t >= 0. It generalizes the results by Beberok and Chen in the case 1<p= 1 were associated with mortality.

引用

页码：755 / 761

页数：7

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