Q spaces of several real variables

By M. Essén, Svante Janson, Lizhong Peng, Jie Xiao. 2000

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New Besov-type spaces and Triebel–Lizorkin-type spaces including Q spaces (2010, methodology): “Besov spaces [16,19,25,26], Triebel–Lizorkin spaces [18,19,25,26 ]a ndQ spaces [ 14 ]o n R n . Thus, we give a complete answer to the question of Dafni and Xiao in [8].”
New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets (2011, background): “These spaces establish the connection between the classical Besov-Triebel-Lizorkin spaces (see, for example, [47, 22, 49]), the Q spaces in [17], and the Hardy-Hausdorff spaces in [15], which has been posed as an open question in [15].”
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.”
A sharp Sobolev trace inequality for the fractional-order derivatives (2006, background): “[5]) into the well-knownBMO(R) – in particular, it leads to an essential improvement of the Poincaré inclusion (cf.”