Amiran Gogatishvili, Pekka Koskela, Yuan Zhou
Published 2011-06-13Version 1
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.
Comments: Forum Math. (to appear). 28 pages
Triebel-Lizorkin spaces on metric spaces via hyperbolic fillings
Continuous characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces associated to non-negative self-adjoint operators
New Properties of Besov and Triebel-Lizorkin Spaces on RD-Spaces
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