The Journal of the Indian Mathematical Society

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Weak Radon-Nikodym Property and Vector-Valued Harmonic Functions


Affiliations
1 Department of Mathematics, University of Burdwan, Burdwan—713104, West Bengal, India
     

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The notion of weak Radon-Nikodym property in a Banach space was first introduced by Musial in his famous paper [9]. The aim of this paper is to study the vector-valued harmonic functions defined on the open unit disc in the complex plane with values in a Banach space and to find how they are related with the weak Radon-Nikodym property.
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  • Weak Radon-Nikodym Property and Vector-Valued Harmonic Functions

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Authors

Sk. Jaker Ali
Department of Mathematics, University of Burdwan, Burdwan—713104, West Bengal, India
N. D. Chakraborty
Department of Mathematics, University of Burdwan, Burdwan—713104, West Bengal, India

Abstract


The notion of weak Radon-Nikodym property in a Banach space was first introduced by Musial in his famous paper [9]. The aim of this paper is to study the vector-valued harmonic functions defined on the open unit disc in the complex plane with values in a Banach space and to find how they are related with the weak Radon-Nikodym property.