r Uniform approximation of Muckenhoupt weights on fractals by simple functions

MARISA TOSCHI; CARENA, MARILINA

Ciudad Autónoma de Buenos Aires

Congreso; CIMPA2017 Research School - IX Escuela Santal´o Harmonic Analysis, Geometric Measure Theory and Applications; 2017

CIMPA- Dto Mate UBA- IMAS CONICET UBA

Given an A p -Muckenhoupt weight on a fractal ob-tained as the attractor of an iterated function system(IFS) with an aditional property, we construct a sequenceof approximating weights, which are simple functionsbelonging uniformly to the A p class on the approximatingspaces.