The $K$-functional for $H^{1}$ and BMO
HTML articles powered by AMS MathViewer
- by Björn Jawerth PDF
- Proc. Amer. Math. Soc. 92 (1984), 67-71 Request permission
Abstract:
Peetre’s $K$-functional for the Hardy space ${H^1}$ and the space BMO of functions of bounded mean oscillation is explicitly characterized in terms of truncated square functions.References
- Alberto-P. Calderón, An atomic decomposition of distributions in parabolic $H^{p}$ spaces, Advances in Math. 25 (1977), no. 3, 216–225. MR 448066, DOI 10.1016/0001-8708(77)90074-3
- A.-P. Calderón and A. Torchinsky, Parabolic maximal functions associated with a distribution, Advances in Math. 16 (1975), 1–64. MR 417687, DOI 10.1016/0001-8708(75)90099-7
- Sun-Yung A. Chang and Robert Fefferman, A continuous version of duality of $H^{1}$ with BMO on the bidisc, Ann. of Math. (2) 112 (1980), no. 1, 179–201. MR 584078, DOI 10.2307/1971324 G. M. Cohen, Hardy spaces: atomic decomposition, area functions, and some new spaces of distributions, Thesis, Univ. of Chicago, 1982.
- C. Fefferman, N. M. Rivière, and Y. Sagher, Interpolation between $H^{p}$ spaces: the real method, Trans. Amer. Math. Soc. 191 (1974), 75–81. MR 388072, DOI 10.1090/S0002-9947-1974-0388072-3
- 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 B. Jawerth, Real interpolation and extrapolation of operators, (to appear).
- Elias M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. MR 0290095
- Jan-Olov Strömberg, Bounded mean oscillation with Orlicz norms and duality of Hardy spaces, Indiana Univ. Math. J. 28 (1979), no. 3, 511–544. MR 529683, DOI 10.1512/iumj.1979.28.28037
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 67-71
- MSC: Primary 42B30; Secondary 46E15, 46M35
- DOI: https://doi.org/10.1090/S0002-9939-1984-0749893-X
- MathSciNet review: 749893