On functions of integrable mean oscillation

• Autores: Óscar Blasco de la Cruz, Antonio Pérez
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 18, Nº 2, 2005, págs. 465-477
• Idioma: inglés
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• Resumen

  • 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