The Gleason's problem on normal weight general function spaces in the unit ball of Cn

被引：0

作者：

Guo, Yu-ting ^{[1
]}

Zhang, Xue-jun ^{[1
]}

机构：

[1] Hunan Normal Univ, Coll Math & Stat, Changsha 410006, Peoples R China

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2023年 / 38卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Gleason's problem; solvability; F(p; mu; s); space; integral operator; BERGMAN TYPE OPERATOR; RUDIN TYPE OPERATORS; HOLOMORPHIC-FUNCTIONS; EQUIVALENT NORMS; F(P; S);

D O I：

10.1007/s11766-023-4840-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first discuss the boundedness of certain integral operator T-t on the normal weight general function space F(p, mu, s) in the unit ball B-n of C-n. As an application of this operator, we prove that the Gleason's problem is solvable on F(p, mu, s).

引用

页码：604 / 613

页数：10

共 34 条

[11] Singular Integral Operators with Bergman-Besov Kernels on the Ball [J].

Kaptanoglu, H. Turgay ;

Ureyen, A. Ersin .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2019, 91 (04)

[12]

Kohr M, 2005, STUD U BABES-BOL MAT, V50, P129

[13] Bergman type operator on spaces of holomorphic functions in the unit ball of Cn [J].

Li, Shenlian .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 514 (01)

[14] THE EQUIVALENT CHARACTERIZATION OF F(p, q, s) SPACE ON BOUNDED SYMMETRIC DOMAINS OF Cn [J].

Li, Shenlian ;

Zhang, Xuejun ;

Xu, Si .

ACTA MATHEMATICA SCIENTIA, 2017, 37 (06) :1791-1802

[15]

Li SL., 2017, Chin J Conte Math, V38, P303

[16] On an integral-type operator from a weighted-type space to F(p,q,s) on the unit ball [J].

Liang, Yu-Xia .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2015, 60 (02) :282-291

[17] Sharp Forelli-Rudin estimates and the norm of the Bergman projection [J].

Liu, Congwen .

JOURNAL OF FUNCTIONAL ANALYSIS, 2015, 268 (02) :255-277

[18]

Ortega JM., 1992, Complex Var, V20, P157, DOI 10.1080/17476939208814597

[19]

Ren GB, 1997, CHINESE ANN MATH B, V18, P265

[20] Gleason's problem in weighted Bergman space an egg domains [J].

Ren, GB ;

Shi, JH .

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1998, 41 (03) :225-231

← 1 2 3 4 →