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Imbedding theorems of Besov spaces in Banach lattices

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Abstract

The paper examines imbeddings of Besov spaces B ωE, θ in ideal spaces (Banach lattices) given that ω ∈ Sk). In particular, the symmetric hull of the space B ωE, θ is described (E is a symmetric space), an inequality of different metrics is obtained, and imbeddings in Orlicz and Lorentz spaces and in some weighted spaces are studied. Most of the results are easily extended to the anisotropic case.

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Authors
  1. Yu. V. Netrusov
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 159, pp. 69–82, 1987.

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Netrusov, Y.V. Imbedding theorems of Besov spaces in Banach lattices. J Math Sci 47, 2871–2881 (1989). https://doi.org/10.1007/BF01305216

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  • DOI: https://doi.org/10.1007/BF01305216

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