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Mean oscillation and commutators of singular integral operators. (English) Zbl 0404.42013

MSC:
42B20Singular and oscillatory integrals, several variables
46E30Spaces of measurable functions
47B47Commutators, derivations, elementary operators, etc.
References:
[1]Coifman, R. R., Rochberg, R., andWeiss, G., Factorization theorems for Hardy spaces in several variables.Ann. Math.,103 (1976), 611–635. · Zbl 0326.32011 · doi:10.2307/1970954
[2]Fefferman, C., andStein, E. M.,H p -spaces of several variables.Acta Math.,129 (1972), 137–193. · Zbl 0257.46078 · doi:10.1007/BF02392215
[3]Janson, S., On functions with conditions on the mean oscillation.Ark. Mat.,14 (1976), 189–190. · Zbl 0341.43005 · doi:10.1007/BF02385834
[4]John, F., andNirenberg, L., On functions of bounded mean oscillation.Comm. Pure Appl. Math. 14 (1961), 415–426. · Zbl 0102.04302 · doi:10.1002/cpa.3160140317
[5]Krasnosel’skiî, M. A., andRutickiî, Ya. B.,Convex functions and Orlicz spaces. (Translated from Russian) Groningen, (1961).
[6]Spanne, S., Some function spaces defined using the mean oscillation over cubes.Ann. Scuola Nom. Sup. Pisa 19 (1965), 593–608.
[7]Stein, E. M.,Singular integrals and differentiability properties of functions. Princeton 1970.Strömberg, J.-O., Bounded mean oscillation with Orlicz norms and duality of Hardy spaces.Institut Mittag-Leffler, Report 4, (1975).