A characterization of the Morrey-Campanato spaces

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Morrey-Campanato Spaces: an Overview (2013, methodology): “Yan [27], the authors gave an equivalent characterization of the spaces L(α, p, k − 1) by using the identity approximations instead of the minimizing polynomial in the definition of the norm (45) in the case α > 0, k > [nα] + 1 when these spaces do not depend on p ∈ [1,∞].”
Compactness of Commutators for Singular Integrals on Morrey Spaces (2012, background): “The Morrey space associated with the heat kernel was studied in [15, 21, 49].”
Classes of Hardy spaces associated with operators, duality theorem and applications (2008, unknown): “Note that the spaces H √ (R ) and L√ (α, 2, s) coincide with the classical H (R) and the Morrey-Campanato spaces L(α, 2, s) (= Λnα(R) of Lipschitz), respectively (Section 3 of [13]).”
Old and New Morrey Spaces with Heat Kernel Bounds (2007, unknown): “The second aim is to use those new characterizations as motives of a continuous study of [1, 7, 5, 9] and so to introduce new Morrey spaces L L (R ) associated with operators.”