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Estimates for weak-type operators. (English) Zbl 0271.46025


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
Full Text: DOI

References:

[1] Colin Bennett, Intermediate spaces and the class \?log^{+\?}, Ark. Mat. 11 (1973), 215 – 228. · Zbl 0266.46025 · doi:10.1007/BF02388518
[2] Paul L. Butzer and Hubert Berens, Semi-groups of operators and approximation, Die Grundlehren der mathematischen Wissenschaften, Band 145, Springer-Verlag New York Inc., New York, 1967. · Zbl 0164.43702
[3] A.-P. Calderón, Spaces between \?\textonesuperior and \?^{\infty } and the theorem of Marcinkiewicz, Studia Math. 26 (1966), 273 – 299. · Zbl 0149.09203
[4] Richard A. Hunt, On \?(\?,\?) spaces, Enseignement Math. (2) 12 (1966), 249 – 276. · Zbl 0181.40301
[5] 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
[6] Richard O’Neil, Les fonctions conjuguées et les intégrales fractionnaires de la classe \?(\?\?\?\(^{+}\) \?)^{\?}, C. R. Acad. Sci. Paris Sér. A-B 263 (1966), A463 – A466 (French). · Zbl 0184.34804
[7] Elias M. Stein and Guido Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton University Press, Princeton, N.J., 1971. Princeton Mathematical Series, No. 32. · Zbl 0232.42007
[8] A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. · Zbl 0085.05601
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