Boundedness properties of modified averaging operators and geometrically doubling metric spaces
Functional Analysis
2026-01-06 v2
Abstract
We characterize the geometrically doubling condition of a metric space in terms of the uniform -boundedness of superaveraging operators, where uniform refers to the existence of bounds independent of the measure being considered.
Keywords
Cite
@article{arxiv.2403.10445,
title = {Boundedness properties of modified averaging operators and geometrically doubling metric spaces},
author = {J. M. Aldaz and A. Caldera},
journal= {arXiv preprint arXiv:2403.10445},
year = {2026}
}
Comments
9 pp. arXiv admin note: text overlap with arXiv:1902.02184