Abstract
In the paper one investigates imbedding type theorems for the spaces\(W\frac{l}{p}_{, \overline a , x} \left( G \right)\) of real functions, defined in the domain G ⊂ En, which represent a further generalization of the generalized spaces of the Morrey type. One considers also the problem of the extremal choice of the parameters characterizing the indicated properties.
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Literature cited
O. V. Besov, V. P. Il'in, and S. M. Nikol'skii, Integral Representations of Functions and Imbedding Theorems, Vols. I and II, Wiley, New York (1978–1979).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im V. A. Steklova AN SSSR, Vol. 102, pp. 27–41, 1980.
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Il'in, V.P., Shubochkina, T.A. Certain imbedding theorems of the functional spaces\(W\frac{l}{p}_{, \overline a , } \left( G \right)\) . J Math Sci 22, 1183–1192 (1983). https://doi.org/10.1007/BF01460270
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DOI: https://doi.org/10.1007/BF01460270