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Title: Essential Norms of Weighted Composition Operators on L^1 Müntz Spaces
Authors: Al Alam, Ihab
Lefèvre, Pascal
Keywords: Müntz spaces
compact operators
composition operators
essential norm
Issue Date: 2014
Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 40, No 3-4, (2014), 241p-260p
Abstract: This paper discusses the problem of boundedness and compactness for weighted composition operators defined on a Müntz subspace of L^1([0,1]). We compute the essential norm of such operators when the symbol ϕ of the composition operator satisfies a special condition (condition (β)). As a corollary, we obtain the exact values of essential norms of composition and multiplication operators. This completes the corresponding results of the first named author in the framework of Müntz subspaces of C([0, 1]). 2010 Mathematics Subject Classification: 47B33, 47B38.
ISSN: 1310-6600
Appears in Collections:Volume 40, Number 3-4

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