TY  - JOUR
ID  - Hu2023
LB  - Hu2023
AU  - Hu, Lian
AU  - Liu, Xiaosong
TI  - Volterra integral operators on a family of Dirichlet-Morrey spaces
ST  - Volterra integral operators on a family of Dirichlet-Morrey spaces
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2023
VL  - 43
IS  - 5
SP  - 633
EP  - 649
DO  - https://doi.org/10.7494/OpMath.2023.43.5.633
UR  - https://doi.org/10.7494/OpMath.2023.43.5.633
AB  - A family of Dirichlet-Morrey spaces \(\mathcal{D}_{\lambda,K}\) of functions analytic in the open unit disk \(\mathbb{D}\) are defined in this paper. We completely characterize the boundedness of the Volterra integral operators \(T_g\), \(I_g\) and the multiplication operator \(M_g\) on the space \(\mathcal{D}_{\lambda,K}\). In addition, the compactness and essential norm of the operators \(T_g\) and \(I_g\) on \(\mathcal{D}_{\lambda,K}\) are also investigated.
KW  - Dirichlet-Morrey type space
KW  - Carleson measure
KW  - Volterra integral operators
KW  - bounded operator
KW  - essential norm
SN  - 1232-9274
ER  -