On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces

Karim Hedayatian and Lotfollah Karimi

Abstract and Applied Analysis, 2009, vol. 2009, issue 1

Abstract: A bounded linear operator T on a Hilbert space ℋ, satisfying ∥T2h∥2+∥h∥2≥2∥Th∥2 for every h ∈ ℋ, is called a convex operator. In this paper, we give necessary and sufficient conditions under which a convex composition operator on a large class of weighted Hardy spaces is an isometry. Also, we discuss convexity of multiplication operators.

Date: 2009
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https://doi.org/10.1155/2009/931020

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2009:y:2009:i:1:n:931020

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