Characterizations of Besov and Triebel-Lizorkin Spaces on Metric Measure Spaces
arXiv:1106.2561
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.
Forum Math. (to appear). 28 pages