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Multipliers on Besov spaces

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Abstract

It is proved in this paper that the characteristic function of the half-space is not a multiplier for the pair (B 1/ppq , B 1/pp∞ ), 1<p<∞, 1<q⩽ ∞. In addition, necessary and sufficient conditions are found for the validity of the inclusion

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Authors
  1. A. B. Gulisashvili
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 135, pp. 36–50, 1984.

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Gulisashvili, A.B. Multipliers on Besov spaces. J Math Sci 31, 2662–2672 (1985). https://doi.org/10.1007/BF02107248

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  • DOI: https://doi.org/10.1007/BF02107248

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