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Weyl multipliers for invariant Sobelev spaces

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Abstract

A concrete characterization for theL P-multipliers (1<p<∞) for the Weyl transform is obtained. This is used to study the Weyl multipliers for Laguerre Sobolev spacesW m,p(ℂn). A dual space characterization is obtained for the Weyl multiplier classM W (W m,1 L (ℂn)).

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, 60036, Madras, India

    Ramakrishnan Radha

  2. Stat-Math. Unit, Indian Statistical Institute, 8th Mile, Mysore Road, 560059, Bangalore, India

    Sundaram Thangavelu

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  1. Ramakrishnan Radha
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  2. Sundaram Thangavelu
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Correspondence to Ramakrishnan Radha.

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Radha, R., Thangavelu, S. Weyl multipliers for invariant Sobelev spaces. Proc. Indian Acad. Sci. (Math. Sci.) 108, 31–40 (1998). https://doi.org/10.1007/BF03161309

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  • DOI: https://doi.org/10.1007/BF03161309

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