2 papers
math.FA2026
Higher order weighted Dirichlet type spaces with poly-superharmonic weights and Dirichlet type operators of finite order
Ashish Kujur, Md. Ramiz Reza
We study higher-order weighted Dirichlet-type spaces on the unit disc associated with a class of poly-superharmonic weights. A higher-order Littlewood Paley formula is established…
math.FA2024
Brown Halmos Operator Identity and Toeplitz Operators on the Dirichlet Space
Ashish Kujur, Md Ramiz Reza
A well known result of Brown and Halmos shows that the Toeplitz operators induced by symbols on the Hardy space of the unit disc are characteriz…