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Automorphisms and generalized projections on spaces of analytic functions

Maurya, R and Sarkar, J and Sensarma, A (2024) Automorphisms and generalized projections on spaces of analytic functions. In: Journal of Mathematical Analysis and Applications, 530 (2).

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Official URL: https://doi.org/10.1016/j.jmaa.2023.127698

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 Hp(D) and Hp(D2), 1≤p≤∞, p≠2. © 2023 Elsevier Inc.

Item Type: Journal Article
Publication: Journal of Mathematical Analysis and Applications
Publisher: Academic Press Inc.
Additional Information: The copyright for this article belongs to the Authors.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 04 Nov 2023 03:21
Last Modified: 04 Nov 2023 03:21
URI: https://eprints.iisc.ac.in/id/eprint/83112

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