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

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

2011-06-13

arxiv.org/abs/1106.2561v1

Mathematics

Classical Analysis and ODEs

Forum Math. (to appear). 28 pages

Scientific paper

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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