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Spaces between a pair of reflexive Lebesgue spaces


Author: David W. Boyd
Journal: Proc. Amer. Math. Soc. 18 (1967), 215-219
MSC: Primary 46.35
DOI: https://doi.org/10.1090/S0002-9939-1967-0212556-3
MathSciNet review: 0212556
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  • [2] -, The Hilbert transform on rearrangement invariant spaces, Canad. J. Math. (to appear). MR 0212512 (35:3383)
  • [3] A. P. Calderón, Spaces between $ {L^1}$ and $ {L^\infty }$, and the theorem of Marcinkiewicz, Studia Math. 26 (1966), 273-299. MR 0203444 (34:3295)
  • [4] E. Hille and R. S. Phillips, Functional analysis and semi-groups, Amer. Math. Soc. Colloq. Publ., Vol. 31, Amer. Math. Soc., Providence, R. I., 1948. MR 0423094 (54:11077)
  • [5] G. G. Lorentz, On the theory of spaces $ \Lambda $, Pacific J. Math. 1 (1950), 37-55. MR 0044740 (13:470c)
  • [6] W. A. J. Luxemburg, Banach function spaces, Thesis, Delft Technical Univ., Assen, 1956. MR 0072440 (17:285a)
  • [7] R. Ryan, Conjugate functions in Orlicz spaces, Pacific J. Math. 13 (1963), 1371-1377. MR 0157183 (28:420)

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DOI: https://doi.org/10.1090/S0002-9939-1967-0212556-3
Article copyright: © Copyright 1967 American Mathematical Society

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