On the Product of Weighted Composition Operators and Radial Derivative Operators from the Bloch-Type Space into the Bers-Type Space on the Fourth Loo-Keng Hua Domain

被引:0
作者
Liu, Xiaoman [1 ]
Liu, Yongmin [2 ]
机构
[1] Nanjing Agr Univ, Coll Sci, Nanjing 210095, Peoples R China
[2] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China
基金
中国国家自然科学基金;
关键词
fourth Loo-Keng Hua domain; weighted composition operator; radial derivative operator; Bloch-type space; Bers-type space; boundedness;
D O I
10.3390/math12193108
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let HEIV be the fourth Loo-Keng Hua domain. We study the boundedness of the product of the weighted composition operator and the radial derivative operator from the Bloch-type space B alpha(HEIV) into the Bers-type space A beta(HEIV) and provide the necessary and sufficient conditions for their boundedness.
引用
收藏
页数:14
相关论文
共 23 条
[1]  
Hua L. K., 1963, Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains, V6
[2]  
Huang CS, 2021, BULL MATH ANAL APPL, V13, P1
[3]   Sum of some product-type operators from mixed-norm spaces to weighted-type spaces on the unit ball [J].
Huang, Cheng-shi ;
Jiang, Zhi-jie ;
Xue, Yan-fu .
AIMS MATHEMATICS, 2022, 7 (10) :18194-18217
[4]   ON A CLASS OF OPERATORS FROM WEIGHTED BERGMAN SPACES TO SOME SPACES OF ANALYTIC FUNCTIONS [J].
Jiang, Zhi Jie .
TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (05) :2095-2121
[5]   WEIGHTED COMPOSITION OPERATORS ON BERS-TYPE SPACES OF LOO-KENG HUA DOMAINS [J].
Jiang, Zhi-Jie ;
Li, Zuo-An .
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 57 (03) :583-595
[6]   On a product-type operator from weighted Bergman-Orlicz space to some weighted type spaces [J].
Jiang, Zhi-jie .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 256 :37-51
[7]  
Kung J., 2004, Applied Inequalities
[8]   Weighted Composition Operators between the Bloch Type Space and the Hardy Space on the Unit Ball of Complex Banach Spaces [J].
Liu, Xiaoman ;
Liu, Yongmin .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2022, 43 (13) :1578-1590
[9]  
Liu YM, 2019, COMPLEX ANAL OPER TH, V13, P1595, DOI 10.1007/s11785-018-00884-w
[10]   Products of composition, multiplication and radial derivative operators from logarithmic Bloch spaces to weighted-type spaces on the unit ball [J].
Liu, Yongmin ;
Yu, Yanyan .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 423 (01) :76-93