From Sobolev inequality to doubling

Korobenko, Lyudmila; Maldonado, Diego; Rios, Cristian

doi:10.1090/S0002-9939-2015-12556-7

From Sobolev inequality to doubling
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by Lyudmila Korobenko, Diego Maldonado and Cristian Rios PDF

Proc. Amer. Math. Soc. 143 (2015), 4017-4028 Request permission

Abstract:

In various analytical contexts, it is proved that a weak Sobolev inequality implies a doubling property for the underlying measure.

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