# Hermitian composition operators on Hardy-Smirnov spaces

Concrete Operators (2017)

- Volume: 4, Issue: 1, page 7-17
- ISSN: 2299-3282

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topGajath Gunatillake. "Hermitian composition operators on Hardy-Smirnov spaces." Concrete Operators 4.1 (2017): 7-17. <http://eudml.org/doc/288053>.

@article{GajathGunatillake2017,

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 ⃘ 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.},

author = {Gajath Gunatillake},

journal = {Concrete Operators},

keywords = {Composition operator; Hermitian operator; Hardy-Smirnov space; composition operator},

language = {eng},

number = {1},

pages = {7-17},

title = {Hermitian composition operators on Hardy-Smirnov spaces},

url = {http://eudml.org/doc/288053},

volume = {4},

year = {2017},

}

TY - JOUR

AU - Gajath Gunatillake

TI - Hermitian composition operators on Hardy-Smirnov spaces

JO - Concrete Operators

PY - 2017

VL - 4

IS - 1

SP - 7

EP - 17

AB - 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.

LA - eng

KW - Composition operator; Hermitian operator; Hardy-Smirnov space; composition operator

UR - http://eudml.org/doc/288053

ER -

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