Uniform approximation of Muckenhoupt weights on fractals by simple functions

• Marilina Carena ^[1] ; Marisa Toschi ^[1]
  1. [1] Universidad Nacional del Litoral

     Universidad Nacional del Litoral

     Argentina

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 62, Nº. 1, 2021, págs. 57-66
• Idioma: inglés
• DOI: 10.33044/revuma.v62n1a03
• Enlaces
  • Texto completo (pdf)
• Resumen

  • Given an Ap-Muckenhoupt weight on a fractal obtained as the attractor of an iterated function system, we construct a sequence of approximating weights, which are simple functions belonging uniformly to the Ap class on the approximating spaces.