Search citation statements
Paper Sections
Citation Types
Year Published
Publication Types
Relationship
Authors
Journals
A new characterization of boundedness of the composition operators in generalized Hölder spaces is obtained in terms that do not use the derivative of the composition operator, but using some averaging construction which represents certain integration of the modulus of continuity involving the symbol of the composition operator. This approach also allows to recover previously known results for the standard weights 𝜔(t) = t 𝛼 with 0 < 𝛼 < 1. Certain further results on characterization of the same spaces are obtained as well.
We study composition operators in variable exponent Hölder space of holomorphic functions in the unit disc. We provide sufficient and, in some cases, necessary conditions for boundedness and for compactness of composition operators acting in these spaces.
No abstract
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
BlogTerms and ConditionsAPI TermsPrivacy PolicyContactCookie PreferencesDo Not Sell or Share My Personal Information
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.