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Superposition operators between normal weight bloch spaces.

Authors :
Tang, Pengcheng
Source :
Monatshefte für Mathematik; Nov2023, Vol. 202 Issue 3, p637-653, 17p
Publication Year :
2023

Abstract

Let φ be an entire function, the superposition operator is defined by S φ (f) = φ ∘ f . In this paper, we characterize the entire functions φ that transform weighted Bloch spaces of analytic functions B μ into another space of the same kind B ν by superposition. Both μ and ν are normal functions or both belong to a certain class of functions. We also obtain several results about the boundedness of superposition operators acting between Logarithmic-type Bloch spaces, weight Banach spaces among others. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00269255
Volume :
202
Issue :
3
Database :
Complementary Index
Journal :
Monatshefte für Mathematik
Publication Type :
Academic Journal
Accession number :
172866401
Full Text :
https://doi.org/10.1007/s00605-023-01887-2