고응일
이종락
2019-12-03T16:30:37Z
2019-12-03T16:30:37Z
2019
1661-8254
1661-8262
OAK-26131
http://dspace.ewha.ac.kr/handle/2015.oak/252341
In this paper, we propose the generalized derivative Hardy space S-alpha,beta(2)(D) which consists of functions whose derivatives are in the Hardy and Bergman spaces. In particular, we state basic results for S-alpha,beta(2) (D) and focus on m-isometric multiplication operators. Moreover, we consider the complete Pick property in S-alpha,beta(2)(D) and several applications of having the complete Pick property, which is related to the multiplication operators and composition operators. Finally, we study the Toeplitz operators on S-alpha,beta(2)(D) and investigate a necessary and sufficient condition for the hyponormality of Toeplitz operator T-phi on S-alpha,beta(2)(D).
English
SPRINGER BASEL AG
Derivative Hardy spaces
Multiplication operator
m-isometry
Complete Pick property
Toepltiz operator
Hyponormal
Multiplication and Toeplitz Operators on the Generalized Derivative Hardy Space
Article
8
13
SCIE
SCOPUS
4143
4164
COMPLEX ANALYSIS AND OPERATOR THEORY
10.1007/s11785-019-00954-7
WOS:000503400100030
2-s2.0-85073973843
Ko, Eungil
Lee, Ji Eun
Lee, Jongrak
고응일(7005763297)
20200227081002