Orlicz–Morrey spaces and the Hardy–Littlewood maximal function

By E. Nakai. 2008

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ON THE LIOUVILLE THEOREM FOR THE STATIONARY NAVIER-STOKES EQUATIONS IN A CRITICAL SPACE (2011, background): “Note that this condition is related to “doubling condition” (see [7] for example).”
Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents (2011, background): “For the constant Morrey spaces, we refer to [19], [27] and [15, 22, 24, 25].”
A new framework for generalized Besov-type and Triebel-Lizorkin-type spaces (2012, background): “We refer to [60] for more details of this type of function spaces.”
Boundedness of the Maximal and Singular Operators on Generalized Orlicz–Morrey Spaces (2013, methodology): “Orlicz-Morrey spaces and maximal and singular operators in such spaces were studied in [31], [32].”
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].”
Orlicz–Morrey Spaces and Fractional Operators (2012, background): “[15]), and, were introduced and studied by Nakai in [9] and [10].”
A Thought on Generalized Morrey Spaces (2018, background): “See [76, 78, 105] for the discussion of generalized Morrey spaces.”