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Characterizations of bounded mean oscillation. (English) Zbl 0229.46051

MSC:
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
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[1] D. L. Burkholder and R. F. Gundy, Extrapolation and interpolation of quasi-linear operators on martingales, Acta Math. 124 (1970), 249 – 304. · Zbl 0223.60021 · doi:10.1007/BF02394573 · doi.org
[2] D. Burkholder, R. Gundy and M. Silverstein, A maximal function characterization of the class H (to appear). · Zbl 0223.30048
[3] A. P. Calderon and A. Zygmund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85 – 139. · Zbl 0047.10201 · doi:10.1007/BF02392130 · doi.org
[4] C. Fefferman and E. M. Stein, (in prep.)
[5] F. John and L. Nirenberg, On functions of bounded mean oscillation, Comm. Pure Appl. Math. 14 (1961), 415 – 426. · Zbl 0102.04302 · doi:10.1002/cpa.3160140317 · doi.org
[6] E. M. Stein, \?^\? boundedness of certain convolution operators, Bull. Amer. Math. Soc. 77 (1971), 404 – 405. · Zbl 0217.44503
[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
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