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Composition Operators and Multiplication Operators on Weighted Spaces of Analytic Functions

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  • J. S. Manhas

Abstract

Let V be an arbitrary system of weights on an open connected subset G of ℂ N ( N ≥ 1 ) and let B ( E ) be the Banach algebra of all bounded linear operators on a Banach space E . Let H V b ( G , E ) and H V 0 ( G , E ) be the weighted locally convex spaces of vector-valued analytic functions. In this survey, we present a development of the theory of multiplication operators and composition operators from classical spaces of analytic functions H ( G ) to the weighted spaces of analytic functions H V b ( G , E ) and H V 0 ( G , E ) .

Suggested Citation

  • J. S. Manhas, 2007. "Composition Operators and Multiplication Operators on Weighted Spaces of Analytic Functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-21, January.
    • Handle: RePEc:hin:jijmms:092070
    DOI: 10.1155/2007/92070
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