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Licensed Unlicensed Requires Authentication Published by De Gruyter July 1, 2013

Characterizations of Besov and Triebel–Lizorkin spaces on metric measure spaces

  • Amiran Gogatishvili EMAIL logo , Pekka Koskela and Yuan Zhou
From the journal Forum Mathematicum


On a metric measure space satisfying the doubling property, we establish several optimal characterizations of Besov and Triebel–Lizorkin spaces, including a pointwise characterization. Moreover, we discuss their (non)triviality under a Poincaré inequality.

Received: 2011-02-16
Revised: 2011-04-11
Published Online: 2013-07-01
Published in Print: 2013-07-01

© 2013 by Walter de Gruyter Berlin Boston

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