TY - JOUR
T1 - Essential Norm of Sum of Generalized Weighted Composition Operators between Weighted Spaces of Analytic Functions
AU - Manhas, Jasbir S.
AU - Al Ghafri, Mohammed S.
N1 - Publisher Copyright:
© 2024 Taylor & Francis Group, LLC.
PY - 2024
Y1 - 2024
N2 - Let (Formula presented.) be the open unit disc in the complex plane (Formula presented.) be the space of analytic functions on (Formula presented.) and (Formula presented.) be the set of analytic self-maps on (Formula presented.). Let (Formula presented.) be such that (Formula presented.) and (Formula presented.). We obtain estimates of the essential norms of the following sum of generalized weighted composition operators (Formula presented.) between weighted Banach spaces of analytic functions (Formula presented.) and (Formula presented.), which unifies the study of products of composition operators, multiplication operators and differentiation operators. As an application, we give the estimates of the essential norm of the operators (Formula presented.) and (Formula presented.). Also, we give the new characterizations of the estimates of the essential norms of the operators (Formula presented.) and (Formula presented.).
AB - Let (Formula presented.) be the open unit disc in the complex plane (Formula presented.) be the space of analytic functions on (Formula presented.) and (Formula presented.) be the set of analytic self-maps on (Formula presented.). Let (Formula presented.) be such that (Formula presented.) and (Formula presented.). We obtain estimates of the essential norms of the following sum of generalized weighted composition operators (Formula presented.) between weighted Banach spaces of analytic functions (Formula presented.) and (Formula presented.), which unifies the study of products of composition operators, multiplication operators and differentiation operators. As an application, we give the estimates of the essential norm of the operators (Formula presented.) and (Formula presented.). Also, we give the new characterizations of the estimates of the essential norms of the operators (Formula presented.) and (Formula presented.).
KW - 46E15
KW - 47B33
KW - 47B38
KW - Composition operators
KW - essential norm
KW - generalized weighted composition operators
KW - multiplication operators
KW - weighted Banch spaces
KW - weighted Bloch spaces
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U2 - 10.1080/01630563.2024.2432600
DO - 10.1080/01630563.2024.2432600
M3 - Article
AN - SCOPUS:85212479100
SN - 0163-0563
JO - Numerical Functional Analysis and Optimization
JF - Numerical Functional Analysis and Optimization
ER -