Functions of bounded (ϕ, p) mean oscillation

René Erlín Castillo Castillo, Julio César Ramos Fernández, Eduard Trousselot

Resumen


In this paper we extend a result of Garnett and Jones to the case of spaces of homogeneous type.

Palabras clave


Functions of bounded mean oscillation; homogeneous type spaces; funciones de oscilación media acotada; espacios de tipo homogéneo.

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Referencias


J. Garnett and P. Jones. The distance in BMO to L∞, Ann. of Math., 108, pp. 373-393, (1978).

F. Jhon and L. Nirenberg. On functions of bounded mean oscillation, Comm. on Pure and Appl. Math., XIV, pp. 415-426, (1961).

R. Marcias and C. Segovia. Lipschitz functions on space of homogeneous type, Avd. Math., 33, pp. 257-270, (1979).

J. Mateu, P. Mattila, A. Nicolau and J. Orobitg. BMO for non-doubling measure, Duke Math. Journal, 102, pp. 533-565, (2000).




DOI: http://dx.doi.org/10.4067/S0716-09172008000200005

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