The Dirichlet problem with BMO boundary data and almost-real coefficients

• Ariel Barton ^[1]
  1. [1] University of Missouri

     University of Missouri

     Township of Columbia, Estados Unidos

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 31, Nº 2, 2015, págs. 713-752
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • It is known that a function, harmonic in a Lipschitz domain, is the Poisson extension of a BMO function if and only if its gradient satisfies a Carleson-measure condition. We show that the same is true of functions that satisfy elliptic equations in two-dimensional Lipschitz domains, provided the coefficients are independent of one coordinate and have small imaginary part.