PRODUCTS OF TOEPLITZ AND HANKEL OPERATORS ON THE BERGMAN SPACES OF GENERALIZED HARTOGS TRIANGLES

被引：1

作者：

Zhang, Shuo ^{[1
]}

机构：

[1] Tianjin Univ Technol, Coll Sci, Tianjin, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2023年 / 53卷 / 01期

关键词：

Toeplitz operator; Hankel operator; generalized Hartogs triangle; Bergman space; L-P BOUNDEDNESS; PROJECTION;

D O I：

10.1216/rmj.2023.53.285

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The generalized Hartogs triangles Hn{ki},gamma are nonsmooth Reinhardt domains defined byHn{ki},gamma:= {z = (ez1, ... , ezm, zn)is an element of Cn : max 1 <= i <= m parallel to zei parallel to < |zn|gamma < 11, where (ze1, . . . , ezm) = (z1, . . . , zn-1) with zei is an element of Cki, i = 1, ... , m and k1 + center dot center dot center dot + km = n - 1. We find some "good" holomorphic automorphisms of Hn{ki},gamma and use them to obtain necessary conditions for the Toeplitz and Hankel products to be bounded on the Bergman space of Hn{ki},gamma.

引用

页码：285 / 297

页数：13