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$% O. Blasco and M. A. Pérez, On functions of integrable mean oscillation,
Rev. Mat. Complut. 18 (2005), no. 2, 465–477.%$

On Functions of Integrable Mean Oscillation

Oscar BLASCO and M. Amparo PÉREZ

Departamento de Análisis Matemático

Universidad de Valencia

46100 Burjassot

Valencia — Spain

Universidad de Valencia

46100 Burjassot

Valencia — Spain

Accepted: April 21, 2005

ABSTRACT

Given we denote by the modulus of mean oscillation given by

where is an arc of , stands for the normalized length of , and . Similarly we denote by the modulus of harmonic oscillation given by

where and stand for the Poisson kernel and the Poisson integral of respectively.

It is shown that, for each , there exists such that

Key words: mean oscillation, BMO, modulus of continuity.

2000 Mathematics Subject Classification: 46B25.