“…As regards the generalized counterpart at infinity, V ∞ L p, (R n ), and the subspace V ( * ) L p, (R n ), they were first considered in Almeida and Samko. 27 It turns out that the subspace V ( * ) 0,∞ L p, (R n ), collecting all those Morrey functions with the three vanishing properties (V 0 ), (V ∞ ), and (V * ), provides an explicit description of the closure of C ∞ 0 (R n ) in generalized Morrey spaces L p, (R n ), see Almeida and Samko. 27 The operators of harmonic analysis we shall deal with, such as maximal operators, singular operators, potential operators, and Hardy operators, are known to be bounded in the spaces L p, (R n ) under appropriate assumptions on the parameters p and , see, eg, the papers.…”