An embedding theorem for a limiting exponent |
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Authors: | O V Besov V P Il'in |
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Institution: | (1) V. A. Steklov Mathematics Institute, Leningrad Branch, Academy of Sciences of the USSR, USSR |
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Abstract: | We consider the function space B
p
l
() of functionsf(x), defined on the domain of a certain class and characterized by specific differential-difference properties in Lp(). We prove a theorem on the embedding B
p,q
l
() Lq in the case whenl=n/p –n/q >0 and its generalization for vectorl, p, q.Translated from Matematicheski Zametki, Vol. 6, No. 2, pp. 129–138, August, 1969. |
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Keywords: | |
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