New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals

55 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.

Anisotropic Triebel-Lizorkin spaces with doubling measures (2007, background): “One should also note that a significant portion of the theory of function spaces can also be done on the large class of spaces of homogeneous type introduced by Coifman and Weiss [13]; for example, see [25, 26, 27].”
A difference characterization of Besov and Triebel-Lizorkin spaces on RD-spaces (2009, background): “Recently, a theory of Besov and Triebel-Lizorkin spaces on RD-spaces was developed in [17], which is a generalization of the corresponding theory of function spaces on Rn (see [47, 48, 49]) respectively Ahlfors n-regular metric measure spaces (see [18, 19]).”