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arXiv · 2403.10445

Boundedness properties of modified averaging operators and geometrically doubling metric spaces

J. M. Aldaz·A. Caldera
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Abstract

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

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J. M. Aldaz, A. Caldera. 2024-03-15. Boundedness properties of modified averaging operators and geometrically doubling metric spaces. https://arxiv.org/abs/2403.10445

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