A note on rearrangement Poincaré inequalities and the doubling condition

2023/05/22 by Martín, Joaquim, Ortiz, Walter A.
#30L99 #46E30 #46E35 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2305.12873

Abstract

We introduce Poincaré 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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