Essential norm of weighted composition operators

Raj, Kuldip; Sharma, Charu

doi:10.1515/anly-2017-0027

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2022

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“…The essential norm of composition operators have been studied on analytic function spaces in [5-7, 10, 12-15, 17, 18]. Also, the essential norm and operator norms of weighted composition operators on analytic function spaces are characterized in [1,4,16]. The essential norm of the difference of composition operators between weighted Bergman spaces and Bloch-type spaces are investigated in [11].…”

Section: Introductionmentioning

confidence: 99%

Essential norm of composition operators on Harmonic Bloch spaces

Estaremi

Ebadian

Esmaeili

2022

Filomat

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In this paper we characterize essential norm of composition operators on the spaces of Harmonic Bloch functions. We obtain some upper and lower bounds for the essential norm of composition operators between Harmonic Bloch function spaces. In some cases we find exact value of the essential norm such as in Theorems 2.7 and 2.11. These results extends the similar results that were proven for composition operators on Bloch spaces.

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