Automorphisms and generalized projections on spaces of analytic functions

Authors

Rahul Maurya, Indian Institute of Science
Jaydeb Sarkar, Indian Statistical Institute Bangalore
Aryaman Sensarma, Indian Statistical Institute Bangalore

Article Type

Research Article

Publication Title

Journal of Mathematical Analysis and Applications

Abstract

We present complete classifications of automorphisms of two closed subalgebras of the space of bounded analytic functions on the open unit disc D, namely, the subalgebra of functions vanishing at the origin, and the subalgebra of functions whose first derivative vanishes at the origin. The later subalgebra is known as the Neil algebra. We also characterize generalized tri-circular projections on H^p(D) and H^p(D²), 1≤p≤∞, p≠2.

DOI

10.1016/j.jmaa.2023.127698

Publication Date

2-15-2024

Comments

Open Access; Green Open Access

Recommended Citation

Maurya, Rahul; Sarkar, Jaydeb; and Sensarma, Aryaman, "Automorphisms and generalized projections on spaces of analytic functions" (2024). Journal Articles. 4616.
https://digitalcommons.isical.ac.in/journal-articles/4616