Boundedness of averaging operators on geometrically doubling metric spaces
Classical Analysis and ODEs
2018-12-06 v2
Abstract
We prove that averaging operators are uniformly bounded on for all geometrically doubling metric measure spaces, with bounds independent of the measure. From this result, the convergence of averages as immediately follows.
Keywords
Cite
@article{arxiv.1710.04233,
title = {Boundedness of averaging operators on geometrically doubling metric spaces},
author = {J. M. Aldaz},
journal= {arXiv preprint arXiv:1710.04233},
year = {2018}
}
Comments
7 pages, to appear in Ann. Acad. Sci. Fenn. Math