AN INTEGRAL TYPE OPERATOR ON S p SPACES AND ITS ESSENTIAL NORM

AN INTEGRAL TYPE OPERATOR ON S p SPACES AND ITS ESSENTIAL NORM

M. Safarzadeh , M. Hassanlou , M. Etefagh , Z. Z. Charandab

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Abstract

Given two analytic functions λ : D → D and ν : D → C and n ∈ N0, we study boundedness of the integral-type operator Cn λ,ν acting from derivative Hardy space into Zygmund space. We also get an approximation for the essential norm of this operator. A characterization for compactness of the operator can be obtained from the essential norm.

Keywords

Integral-type operator, Essential norm, Zygmund type space, Hardy space.