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Boundedness of a class of vector-valued multiplier operators in \(L_ p(T^{\infty})\) - MaRDI portal

Boundedness of a class of vector-valued multiplier operators in \(L_ p(T^{\infty})\) (Q1086487)

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scientific article; zbMATH DE number 3983930
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English
Boundedness of a class of vector-valued multiplier operators in \(L_ p(T^{\infty})\)
scientific article; zbMATH DE number 3983930

    Statements

    Boundedness of a class of vector-valued multiplier operators in \(L_ p(T^{\infty})\) (English)
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    1986
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    Starting from a question of \textit{E. M. Stein} [Bull. Am. Math. Soc. New Ser. 9, 71-73 (1983; Zbl 0515.42018)], the authors study the boundedness of a class of vector multiplier operators on the infinite dimensional torus \(T^{\infty}\). These results, which have been previously announced [see ''Tez. dokl. Vil'nyus'' 3, 26-27 (1981)], are given here in full details.
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    Riesz operators
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    boundedness of a class of vector multiplier operators on the infinite dimensional torus
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