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arXiv · 2305.12873

A note on rearrangement Poincar\'e inequalities and the doubling condition

Joaquim Martín·Walter A. Ortiz
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Abstract

We introduce Poincar\'e type inequalities based on rearrangement invariant spaces in the setting of metric measure spaces and analyze when they imply the doubling condition on the underline measure.

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Joaquim Martín, Walter A. Ortiz. 2023-05-22. A note on rearrangement Poincar\'e inequalities and the doubling condition. https://arxiv.org/abs/2305.12873

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