1999•Proceedings of the American Mathematical SocietyOpen access

Composition operators on Hardy spaces of a half-plane

Valentin Matache

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Abstract

We consider composition operators on Hardy spaces of a half-plane. We mainly study boundedness and compactness. We prove that on these spaces there are no compact composition operators.

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What this paper is about

We consider composition operators on Hardy spaces of a half-plane. We mainly study boundedness and compactness. We prove that on these spaces there are no compact composition operators.

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OpenAlex reports 63 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We consider composition operators on Hardy spaces of a half-plane. We mainly study boundedness and compactness. We prove that on these spaces there are no compact composition operators.

Key concepts: Hardy space, Composition (language), Mathematics, Plane (geometry), Pure mathematics, Mathematical analysis, Geometry, Philosophy

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