One considers imbedding type theorems for the spaces − fr,ρ,θ λ,ϕ,bs (G) of real functions, defined on a domain G of then -dimensional Euclidean space En. As opposed to the known spaces of this type, the power function ta, characterizing the degree of the smoothness of the functions, is replaced here by a function ϕ(t), arbitrary in a certain sense.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 70, pp. 49–75, 1977.
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Il'in, V.P. Some imbedding theorems for the function spaces − fr,ρ,θ λ,ϕ,bs (G). J Math Sci 23, 1909–1929 (1983). https://doi.org/10.1007/BF01093274
- Euclidean Space
- Function Space
- Power Function
- Real Function
- Type Theorem