Singular and fractional integral operators on Campanato spaces with variable growth conditions

By E. Nakai. 2010

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Calderón–Zygmund operators in Morrey spaces (2014, background): “One may consult the recent papers [4,16,21] and the references within.”
Morrey-Campanato Spaces: an Overview (2013, background): “Nakai [76] (2010) there were introduced φ-generalizations of such spaces on a space of homogeneous-type, normal in the sense of Maćıas and Segovia.”
Musielak-Orlicz Campanato Spaces and Applications (2013, unknown): “For more applications of Campanato spaces and those function spaces related to Campanato spaces in harmonic analysis and partial differential equations, see, for example, [34, 37, 1, 16, 10, 31, 19, 30, 40, 11] and their references.”
FUNCTION SPACES WITH VARIABLE EXPONENTS – AN INTRODUCTION – (2014, unknown): “The generalized fractional integral operators Iρ with ρ : (0,∞) → (0,∞) are studied in [144, 145, 146, 149, 206, 207] and the spaces L(R) with constant p and φ : R × (0,∞) → (0,∞) are studied in [142, 147, 151, 157].”