Essential Norm of Generalized Integration Operator between Zygmund Type Spaces


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Authors: M. HASSANLOU AND F. ALIGHADR

DOI: 10.46793/KgJMat2605.767H

Abstract:

Considering the generalized integration operator

            ∫
(  n  )       z  (n)
 C φ,gf (z) = 0 f   (φ(ξ))g(ξ) dξ,

between two Zygmund type spaces, the essential norm of the operator will be estimated. Here φ is an analytic self-map on ????, n and g H(????). As a result, a criteria for the compactness of the above operator is given in the paper.



Keywords:

Boundedness, compactness, essential norm, Zygmund type space, integral type operator.



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