TY - JOUR
AU - 고응일
AU - 이종락
DA - 2019
UR - http://dspace.ewha.ac.kr/handle/2015.oak/252341
AB - 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).
LA - English
PB - SPRINGER BASEL AG
KW - Derivative Hardy spaces
KW - Multiplication operator
KW - m-isometry
KW - Complete Pick property
KW - Toepltiz operator
KW - Hyponormal
TI - Multiplication and Toeplitz Operators on the Generalized Derivative Hardy Space
IS - 8
VL - 13
DO - 10.1007/s11785-019-00954-7
ER -