Essential norm of linear operators from general weighted‐type spaces to Banach spaces and some applications

Essential norm of linear operators from general weighted‐type spaces to Banach spaces and some applications

We present a result concerning the essential norm of linear operators mapping some general weighted‐type spaces of holomorphic functions on the open unit ball in ℂn$$ {\mathrm{\mathbb{C}}}^n $$ to Banach spaces. As some applications, we compare essential norms of a product‐type o...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences Vol. 47; no. 9; pp. 7658 - 7668
Main Author: Stević, Stevo
Format: Journal Article
Language:English
Published: Freiburg Wiley Subscription Services, Inc 01-06-2024
Subjects:
Analytic functions
Banach spaces
essential norm
holomorphic function
Linear operators
Operators (mathematics)
product‐type operator
several complex variables
Online Access:Get full text
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Summary:We present a result concerning the essential norm of linear operators mapping some general weighted‐type spaces of holomorphic functions on the open unit ball in ℂn$$ {\mathrm{\mathbb{C}}}^n $$ to Banach spaces. As some applications, we compare essential norms of a product‐type operator of integral type and a weighted composition operator between some of the general weighted‐type spaces.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.9995