Boundedness and compactness of a new product-type operator from a general space to Bloch-type spaces

被引：33

作者：

Stevic, Stevo ^{[1
,2
]}

Sharma, Ajay K. ^{[3
]}

Krishan, Ram ^{[3
]}

机构：

[1] Serbian Acad Sci, Math Inst, Knez Mihailova 36-3, Belgrade 11000, Serbia

[2] King Abdulaziz Univ, Operator Theory & Applicat Res Grp, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[3] Shri Mata Vaishno Devi Univ, Dept Math, Katra 182320, Jammu & Kashmir, India

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年

关键词：

product-type operator; Bloch-type space; boundedness; compactness; WEIGHTED COMPOSITION OPERATORS; DIFFERENTIATION OPERATORS; BERGMAN SPACES; H-INFINITY; MULTIPLICATION;

D O I：

10.1186/s13660-016-1159-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the boundedness and compactness of a product-type operator, which, among others, includes all the products of the single composition, multiplication, and differentiation operators, from a general space to Bloch-type spaces. We also give some upper and lower bounds for the norm of the operator.

引用

页数：32

共 50 条

[31] Product-type Operators from General Space F(p, q, s) to μ-Bloch Spaces on the Unit Ball in Cn
Poongothai, K.
Youvaraj, G. P.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2023, 44 (07) : 2870 - 2890
[32] On a new operator from the logarithmic Bloch space to the Bloch-type space on the unit ball
Stevic, Stevo
APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (01) : 313 - 320
[33] On an integral-type operator from logarithmic Bloch-type spaces to mixed-norm spaces on the unit ball
Stevic, Stevo
APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (11) : 3817 - 3823
[34] AN INTEGRAL-TYPE OPERATOR FROM WEIGHTED BERGMAN-PRIVALOV SPACES TO BLOCH-TYPE SPACES
Ren, Yong
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 19 (02) : 241 - 249
[35] The Product-Type Operators from Logarithmic Bloch Spaces to Zygmund-Type Spaces
Liu, Yongmin
Yu, Yanyan
FILOMAT, 2019, 33 (12) : 3639 - 3653
[36] On the boundedness and compactness of extended Cesaro composition operators between weighted Bloch-type spaces
Lam, Lien Vuong
Quang, Thai Thuan
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2024, 53 (04): : 897 - 914
[37] NEW ESTIMATES OF ESSENTIAL NORM OF AN INTEGRAL-TYPE OPERATOR BETWEEN BLOCH-TYPE SPACES ON THE UNIT BALL
Xu, Ning
Zhou, Ze-Hua
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (01): : 271 - 285
[38] Product-Type Operators from the Bloch Space into Zygmund-Type Spaces
Ebrahim Abbasi
Xiangling Zhu
Bulletin of the Iranian Mathematical Society, 2022, 48 : 385 - 400
[39] On an integral operator between Bloch-type spaces on the unit ball
Stevic, Stevo
BULLETIN DES SCIENCES MATHEMATIQUES, 2010, 134 (04): : 329 - 339
[40] Weighted Composition Operator from Bers-Type Space to Bloch-Type Space on the Unit Ball
Liang, Yu-Xia
Zhou, Ze-Hua
Dong, Xing-Tang
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (03) : 833 - 844

← 1 2 3 4 5 →