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Banach spaces of measurable functions, invariant under translations. (English. Russian original) Zbl 0501.46031
Sib. Math. J. 23, 134-140 (1982); translation from Sib. Mat. Zh. 23, No. 1, 172-179 (1982).
MSC:
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
43A15 \(L^p\)-spaces and other function spaces on groups, semigroups, etc.
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References:
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[2] E. M. Nikishin, ?Resonance theorems and functional series?, Mat. Zametki,10, No. 5, 583-595 (1971).
[3] B. Maurey, ?Nouveaux theoremes de Nikishin?, Seminaire Maurey-Schwartz, Exp. Nos. 4 et 5 (1973-1974).
[4] W. Feller, An Introduction to Probability Theory and Its Applications, Vol. 2, 3rd ed., Wiley, New York-London-Sydney (1968). · Zbl 0155.23101
[5] S. G. Krein, Yu. I. Petunin, and E. M. Semenov, Interpolation of Linear Operators [in Russian], Nauka, Moscow (1978).
[6] E. M. Stein and G. Weiss, ?An extension of a theorem of Marcinkiewicz and some of its applications?, J. Math. Mech.,8, No. 2, 263-284 (1959). · Zbl 0084.10801
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