Geodesic
Essential Norms of Weighted Composition Operators on L^1 Müntz Spaces
Serdica Mathematical Journal, Tome 40 (2014) no. 3-4, pp. 241-260

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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.
Keywords: Müntz spaces, compact operators, composition operators, essential norm 
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Al Alam, Ihab; Lefèvre, Pascal. Essential Norms of Weighted Composition Operators on L^1 Müntz Spaces. Serdica Mathematical Journal, Tome 40 (2014) no. 3-4, pp. 241-260. http://geodesic.mathdoc.fr/item/SMJ2_2014_40_3-4_a2/