The symmetry/asymmetry of functions providing sharp constants in the embedding theorems
for various r and k is studied. The sharp constants for all r > k in the cases k = 4 and k = 6 are calculated explicitly as well. Bibliography: 16 titles.
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22 December 2021
A Correction to this paper has been published: https://doi.org/10.1007/s10958-021-05679-7
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 425, 2014, pp. 35–45.
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Mukoseeva, E.V., Nazarov, A.I. On the Symmetry of Extremal in Several Embedding Theorems. J Math Sci 210, 779–786 (2015). https://doi.org/10.1007/s10958-015-2589-9
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DOI: https://doi.org/10.1007/s10958-015-2589-9