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Characterization of spaces of multipliers for Bessel potential spaces

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Abstract

The spaces of multipliers from a Bessel potential space with positive index of smoothness into a Bessel potential space with negative index of smoothness are considered. A description of multipliers from the space H k p (ℝn) into the space H −k p′ (ℝn) and from the space H k p (ℝn)) into the space H −l p′ (ℝn) is obtained in terms of uniformly localized Bessel potential spaces H s r,unif (ℝn).

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  1. Moscow State University, Moscow, Russia

    A. A. Belyaev

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  1. A. A. Belyaev
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Correspondence to A. A. Belyaev.

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Belyaev, A.A. Characterization of spaces of multipliers for Bessel potential spaces. Math Notes 96, 634–646 (2014). https://doi.org/10.1134/S0001434614110029

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  • DOI: https://doi.org/10.1134/S0001434614110029

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