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Hermitian composition operators on Hardy-Smirnov spaces

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Gunatillake G.

Concrete Operators

2017

tom 4

nr 1

7-17

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.

Ograniczanie wyników

1 Concrete Operators

1 Gunatillake G.

1 2017

Wyniki wyszukiwania

Hermitian composition operators on Hardy-Smirnov spaces