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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
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.