New characterizations of Hajłasz-Sobolev spaces on metric spaces

108 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Pointwise Characterizations of Besov and Triebel-Lizorkin Spaces and Quasiconformal Mappings (2010, methodology): “For predecessors of such results, see [21, 31].”
A characterization of Hajłasz–Sobolev and Triebel–Lizorkin spaces via grand Littlewood–Paley functions☆ (2009, methodology): “In the fractional order, s ∈ (0, 1), case it was shown in [39] that Ṁ s, p(Rn) = Ḟ s p,∞(R n), provided 1 < p < ∞.”
Characterizations of Besov and Triebel–Lizorkin spaces on metric measure spaces (2011, background): “Yang [27] established a pointwise characterization for the Triebel-Lizorkin spaces Ḟ s p,∞(X ) for s ∈ (0, 1) and p ∈ (1, ∞] on Ahlfors regular spaces.”
A difference characterization of Besov and Triebel-Lizorkin spaces on RD-spaces (2009, background): “The space W s p(X ) was first studied in [52].”