Hermitian composition operators on Hardy-Smirnov spaces
Abstract: Let Ω be an open simply connected proper subset of the complex plane and φ an analytic self map of Ω. If f is in the Hardy-Smirnov space defined on Ω, then the operator that takes f to f º φ is a composition operator. We show that for any Ω, analytic self maps that induce bounded Hermitian composition operators are of the form Φ(w) = aw + b where a is a real number. For ceratin Ω, we completely describe values of a and b that induce bounded Hermitian composition operators.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
Hermitian composition operators on Hardy-Smirnov spaces ; volume:4 ; number:1 ; year:2017 ; pages:7-17 ; extent:11
Concrete operators ; 4, Heft 1 (2017), 7-17 (gesamt 11)
- Urheber
-
Gunatillake, Gajath
- DOI
-
10.1515/conop-2017-0002
- URN
-
urn:nbn:de:101:1-2410301534565.075555118641
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
15.08.2025, 07:23 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Gunatillake, Gajath
Ähnliche Objekte (12)
Compact composition operators on Hardy spaces
Weighted composition operators on Hardy–Smirnov spaces
Hardy Spaces for Quasiregular Mappings and Composition Operators
Weighted composition operators from weighted hardy spaces to weighted-type spaces
Spectra of weighted composition operators on abstract Hardy spaces
Hardy spaces of generalized analytic functions and composition operators
Symplectic Dirac operators on Hermitian symmetric spaces
Toeplitz operators on Hardy spaces
Hardy operators and the commutators on Hardy spaces
Volterra integration operators from Hardy-type tent spaces to Hardy spaces
Hardy operators, function spaces and embeddings
Hardy spaces associated to generalized Hardy operators and applications
Compact composition operators on Hardy spaces
Weighted composition operators on Hardy–Smirnov spaces
Hardy Spaces for Quasiregular Mappings and Composition Operators
Weighted composition operators from weighted hardy spaces to weighted-type spaces
Spectra of weighted composition operators on abstract Hardy spaces
Hardy spaces of generalized analytic functions and composition operators
Symplectic Dirac operators on Hermitian symmetric spaces
Toeplitz operators on Hardy spaces
Hardy operators and the commutators on Hardy spaces
Volterra integration operators from Hardy-type tent spaces to Hardy spaces
Hardy operators, function spaces and embeddings
Hardy spaces associated to generalized Hardy operators and applications
Compact composition operators on Hardy spaces
Weighted composition operators on Hardy–Smirnov spaces
Hardy Spaces for Quasiregular Mappings and Composition Operators
Weighted composition operators from weighted hardy spaces to weighted-type spaces
Spectra of weighted composition operators on abstract Hardy spaces
Hardy spaces of generalized analytic functions and composition operators
Symplectic Dirac operators on Hermitian symmetric spaces
Toeplitz operators on Hardy spaces
Hardy operators and the commutators on Hardy spaces
Volterra integration operators from Hardy-type tent spaces to Hardy spaces
Hardy operators, function spaces and embeddings