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arXiv · 1106.2561

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

Amiran Gogatishvili·Pekka Koskela·Yuan Zhou
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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 Poincaré inequality.

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Amiran Gogatishvili, Pekka Koskela, Yuan Zhou. 2011-06-13. Characterizations of Besov and Triebel-Lizorkin Spaces on Metric Measure Spaces. https://arxiv.org/abs/1106.2561

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