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math.FA2026
Wold-type decompositions for norm-increasing -concave weighted shifts on directed trees
Ashish Kujur
In this article, we show that every norm-increasing -concave weighted shift on a directed tree admits Wold-type decomposition. We then classify the -isometries within a class…
math.FA2025
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…