Characterizations of Besov and Triebel-Lizorkin Spaces on Metric Measure Spaces

Published 13 Jun 2011 in math.CA and math.FA | (1106.2561v1)

Abstract: 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 Poincar\'e inequality.

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