Mock Morrey spaces

Abstract

The use of the word “mock” here is essentially in tribute to Ramanujan’s use of the word when he refers to his “mock theta functions” - they have a close resemblance to the original (imitations), but are not quite the same. This is the case with the spaces of this chapter, and the term is to draw attention to this close resemblance. Actually, these spaces can also be described by the term “Marcinkiewicz Spaces,” but in so doing, the underlying connection with Morrey’s original tends to be lost.