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math.CV2024
Automorphisms of subalgebras of bounded analytic functions
Kanha Behera, Rahul Maurya, P. Muthukumar
Let denote the algebra of all bounded analytic functions on the unit disk. It is well-known that every (algebra) automorphism of is a composition operator ind…
math.FA2024
Composition operators between Beurling subspaces of Hardy space
V. A. Anjali, P. Muthukumar, P. Shankar
V. Matache (J. Operator Theory 73(1):243--264, 2015) raised an open problem about characterizing composition operators on the Hardy space and nonzero singular measures…