Uniform approximation of Muckenhoupt weights on fractals by simple functions

Authors

  • Marilina Carena Facultad de Ingeniería Química (UNL), researcher at CONICET, Departamento de Matemática (FIQ-UNL), Santa Fe, Argentina
  • Marisa Toschi Instituto de Matemática Aplicada del Litoral (CONICET-UNL), Departamento de Matemática (FHUC-UNL), Santa Fe, Argentina

DOI:

https://doi.org/10.33044/revuma.v62n1a03

Abstract

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

Downloads

Download data is not yet available.

Downloads

Published

2021-05-21

Issue

Vol. 62 No. 1 (2021)

Section

Article

License

Copyright (c) 2021 Marilina Carena, Marisa Toschi

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors who publish with this journal agree to the following terms:

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal. The Journal may retract the paper after publication if clear evidence is found that the findings are unreliable as a result of misconduct or honest error.