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Unions et intersections d’espaces \(L^p\) invariantes par translation ou convolution. (French) Zbl 0365.46029


MSC:

46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46E40 Spaces of vector- and operator-valued functions
28C10 Set functions and measures on topological groups or semigroups, Haar measures, invariant measures
43A70 Analysis on specific locally compact and other abelian groups

References:

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[2] [2] and , The spaces Lp, with mixed norm, Duke Math. J., 28 (1961), 301-324. · Zbl 0107.08902
[3] [3] and , Potential theory on locally compact abelian groups, Springer 1975. · Zbl 0308.31001
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[5] [5] et , Transformation de Fourier sur les espace lp(Lp’), Ann. Inst. Fourier 29 (1979). · Zbl 0387.42003
[6] [6] , Construction and analysis of some convolution algebras, Ann. Inst. Fourier, 14 (1964), 1-32. · Zbl 0133.07501
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[10] [10] and , Abstract harmonic analysis. 2 volumes, Springer, 1963 et 1970.
[11] [3] and , Foliated bundles and characteristic classes, Lecture Notes in Math., Springer, 493 (1975). · Zbl 0314.46029
[12] [12] , On certain special commutative normed rings. (en russe), Doklady Akad. Nauk SSSR, 64 (1949), 281-284. · Zbl 0035.06902
[13] [13] , Measures with separable orbits, Proc. Am. Math. Soc., 19 (1968), 569-572. · Zbl 0157.06801
[14] [14] , Classical harmonic analysis and locally compact groups, Clarendon Press, Oxford, 1968. · Zbl 0165.15601
[15] [15] , L1-algebras and Segal algebras, Lectures Notes n° 231, Springer 1971. · Zbl 0219.43003
[16] [16] , Measures algebras on abelian groups, Bull. Am. Math. Soc., 65 (1959), 227-247. · Zbl 0089.10901
[17] [17] , On functions and measures whose Fourier transforms are functions, Math. Ann., 179 (1968), 31-41. · Zbl 0167.41601
[18] N. WIENER, Tauberian theorems, Ann. of Math., 33 (1932), 1-100.0004.0590558.0226.02 · JFM 58.0226.02
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