Boundedness properties of modified averaging operators and geometrically doubling metric spaces

2024/03/15 by J. M. Aldaz, Aldaz, J. M., A. Caldera +1
Mathematics · #Approximation Theory and Sequence Spaces #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2403.10445

openalex publication_date 2024/03/15 · openalex created_date 2024/03/19 · openalex updated_date 2026/07/28

Abstract

We characterize the geometrically doubling condition of a metric space in terms of the uniform L¹-boundedness of superaveraging operators, where uniform refers to the existence of bounds independent of the measure being considered.

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