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Imbedding theorems in Lizorkin-Triebel spaces

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Abstract

Imbedding theorems for anisotropic Lizorkin-Triebel spaces are studied. Representation theorems are obtained for these classes, symmetric hulls are described, and unimprovable bounds are derived for moduli of continuity.

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 159, pp. 103–112, 1987.

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Netrusov, Y.V. Imbedding theorems in Lizorkin-Triebel spaces. J Math Sci 47, 2896–2903 (1989). https://doi.org/10.1007/BF01305218

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  • DOI: https://doi.org/10.1007/BF01305218

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