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Licensed Unlicensed Requires Authentication Published by De Gruyter May 15, 2014

The distance of L from BMO on metric measure spaces

  • Juha Kinnunen EMAIL logo and Parantap Shukla

Abstract.

This work has two principal aims. The first is to obtain a characterization of the closure of L as a subset of BMO in the setting of metric measure spaces. The second is to examine the issue of whether the Muckenhoupt class A1 is strictly contained in 1<p<Ap by way of an example in the setting of metric measure spaces.

MSC: 42B35; 30L99

Funding source: Academy of Finland

Received: 2014-4-1
Revised: 2014-4-25
Accepted: 2014-4-26
Published Online: 2014-5-15
Published in Print: 2014-6-1

© 2014 by Walter de Gruyter Berlin/Boston

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