Interpolation between 𝐻^{𝑝} spaces: the real method

Fefferman, C.; Rivière, N. M.; Sagher, Y.

doi:10.1090/S0002-9947-1974-0388072-3

Interpolation between $H\sp{p}$ spaces: the real method

Authors: C. Fefferman, N. M. Rivière and Y. Sagher
Journal: Trans. Amer. Math. Soc. 191 (1974), 75-81
MSC: Primary 46E35; Secondary 46M35
DOI: https://doi.org/10.1090/S0002-9947-1974-0388072-3
MathSciNet review: 0388072
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Abstract: The interpolation spaces in the Lions-Peetre method between ${H^p}$ spaces, $0 < p < \infty$ , are calculated.

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[2] N. M. Rivière and Y. Sagher, Interpolation between 𝐿^{∞} and 𝐻¹, the real method, J. Functional Analysis 14 (1973), 401–409. MR 0361759
[3] Elias M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. MR 0290095
[4] E. M. Stein and A. Zygmund, Boundedness of translation invariant operators on Hölder spaces and 𝐿^{𝑝}-spaces, Ann. of Math. (2) 85 (1967), 337–349. MR 0215121, https://doi.org/10.2307/1970445

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