A note on the density of the parabolic ara integral

• Autores: Ileana Iribarren
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 52, Fasc. 1, 2001, págs. 75-84
• Idioma: inglés
• Títulos paralelos:
  • Nota sobre la densidad de la integral de área parabólica
• Enlaces
  • Texto completo
• Resumen

  • The density of the area integral for parabolic functions is defined in analogy with the case of harmonic functions. We prove its equivalence with the local time of the associated martingale. Using probabilistic methods, we show its equivalence in L p -norm with the parabolic area function for p>1.

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