Hermitian composition operators on Hardy-Smirnov spaces

• Autorzy: Gajath Gunatillake
• Języki publikacji: EN

Abstrakty

EN

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 ⃘ 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.

Słowa kluczowe

EN

Composition operator; Hermitian operator; Hardy-Smirnov space

• Wydawca: De Gruyter Open
• Czasopismo: Concrete Operators
• Rocznik: 2017
• Tom: 4
• Numer: 1
• Strony: 7-17

Daty

wydano

2017-01-01

otrzymano

2016-06-13

zaakceptowano

2016-12-06

online

2017-01-31

Twórcy

autor

Gajath Gunatillake

• American University of Sharjah,

Identyfikatory

DOI

10.1515/conop-2017-0002