Work

Boundedness properties of modified averaging operators and geometrically doubling metric spaces

Year: 2025

Type: article

Abstract: We characterize the geometrically doubling condition of a metric space in terms of the uniform $$L^1$$ L 1 -boundedness of superaveraging operators, where uniform refers to the existence of bounds independent of the measure being considered.

Source: Analysis Mathematica

DOI: 10.1007/s10476-025-00068-7

Authors: J. M. Aldaz, A. Caldera

Institutions: Consejo Superior de Investigaciones Científicas, Institute of Mathematical Sciences, Universidad Carlos III de Madrid, Universidad Autónoma de Madrid, Universidad de Oviedo

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Instituto de Ciencias Matemáticas, Comunidad de Madrid, Ministerio de Ciencia e Innovación