Estimate for Norm of a Composition Operator on the Hardy–Dirichlet Space

Article Type

Research Article

Publication Title

Integral Equations and Operator Theory

Abstract

By using the Schur test, we give some upper and lower estimates on the norm of a composition operator on H2, the space of Dirichlet series with square summable coefficients, for the inducing symbol φ(s) = c1+ cqq-s where q≥ 2 is a fixed integer. We also give an estimate on the approximation numbers of such an operator.

DOI

10.1007/s00020-018-2434-x

Publication Date

2-1-2018

Comments

All Open Access, Green

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