Geometric Qp Functions

By Jie Xiao. 2006

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Interpolation of Morrey-Campanato and related smoothness spaces (2014, background): “The homogenous version of these spaces were introduced in [91, 92] in order to clarify the relation between Besov and Triebel-Lizorkin spaces and Q spaces (see [21, 16, 89, 90]).”
Relations among Besov-type spaces, Triebel–Lizorkin-type spaces and generalized Carleson measure spaces (2011, background): “In recent years, there has been increasing interest in a new family of function spaces, called Qα spaces with α ∈ R; see, for example, [1, 2, 13, 14] and their references for a history of these spaces.”
New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets (2011, background): “It was shown in [57, 58, 43] that these spaces unify and generalize many classical function spaces including classical Besov and Triebel-Lizorkin spaces, Triebel-Lizorkin-Morrey spaces (see, for example, [51, 42, 41, 43]), Q spaces, and Hardy-Hausdorff spaces (see also [54, 55]).”