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Tensor products of function spaces. (English) Zbl 0333.46019


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
46M05 Tensor products in functional analysis
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References:

[1] A.-P. Calderón, Intermediate spaces and interpolation, the complex method, Studia Math. 24 (1964), 113 – 190. · Zbl 0204.13703
[2] T. Donaldson, Harmonic analysis for functors on categories of Banach spaces of distributions, Trans. Amer. Math. Soc. 185 (1973), 1- 82. · Zbl 0293.46051
[3] P. Krée, Interpolation d’espaces vectoriels qui ne sont ni normés, ni complets. Applications, Ann. Inst. Fourier (Grenoble) 17 (1967), no. fasc. 2, 137 – 174 (1968) (French). · Zbl 0173.15801
[4] W.A.J. Luxemburg, Rearrangement-invariant Banach function spaces, Queen’s Papers in Pure and Appl. Math., no. 10, Queen’s University, Kingston, Ont., 1967, pp. 83-144. · Zbl 0162.44701
[5] Mario Milman, Integral transforms of weak type between rearrangement invariant spaces, Bull. Amer. Math. Soc. 81 (1975), 761 – 762. · Zbl 0304.46016
[6] M. Milman, Interpolation of bilinear operations on rearrangement-invariant spaces, Research Report, Australian National Univ., 1975.
[7] Richard O’Neil, Integral transforms and tensor products on Orlicz spaces and \?(\?,\?) spaces, J. Analyse Math. 21 (1968), 1 – 276. · Zbl 0182.16703
[8] Jaak Peetre, On the theory of \cal\?_{\?},_{\?} spaces, J. Functional Analysis 4 (1969), 71 – 87. · Zbl 0175.42602
[9] Marc A. Rieffel, Multipliers and tensor products of \?^{\?}-spaces of locally compact groups, Studia Math. 33 (1969), 71 – 82. · Zbl 0177.41702
[10] Alberto Torchinsky, Interpolation of operations and Orlicz classes, Studia Math. 59 (1976/77), no. 2, 177 – 207. · Zbl 0348.46027
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