학술논문
Boundedness properties of modified averaging operators and geometrically doubling metric spaces
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Working Paper
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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.
Comment: 9 pp. arXiv admin note: text overlap with arXiv:1902.02184
Comment: 9 pp. arXiv admin note: text overlap with arXiv:1902.02184