An Axiomatic Approach to Function Spaces, Spectral Synthesis, and Luzin Approximation

By L. Hedberg, Y. Netrusov. 2007

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Moser iteration for (quasi)minimizers on metric spaces (2006, methodology): “For spectral synthesis in very general function spaces on Rn, including, e.g., Besov and Lizorkin{ Triebel spaces, see Hedberg{Netrusov [ 20 ].”
Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type (2010, background): “(2.5) We give the definition of an admissible continuous frame F on X. Definition 2.1.”
Generalized Morrey spaces and trace operator (2016, methodology): “such as Morrey spaces, Herz spaces and Orlicz spaces is to connect these spaces with the Littlewood-Paley decomposition. The idea of replacing Lp(Rn) spaces with other function spaces are expanded in [18, 30, 44, 72]. Such attempts are made for Bσ-function spaces, variable Lebesgue spaces and Orlicz”