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

Interpolation between $H^{p}$ spaces: the real method
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by C. Fefferman, N. M. Rivière and Y. Sagher PDF

Trans. Amer. Math. Soc. 191 (1974), 75-81 Request permission

The interpolation spaces in the Lions-Peetre method between ${H^p}$ spaces, $0 < p < \infty$, are calculated.

References

C. Fefferman and E. M. Stein, $H^{p}$ spaces of several variables, Acta Math. 129 (1972), no. 3-4, 137–193. MR 447953, DOI 10.1007/BF02392215
N. M. Rivière and Y. Sagher, Interpolation between $L^{\infty }$ and $H^{1}$, the real method, J. Functional Analysis 14 (1973), 401–409. MR 0361759, DOI 10.1016/0022-1236(73)90053-0
Elias M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. MR 0290095
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 215121, DOI 10.2307/1970445