Basic functional properties of certain scale of rearrangement‐invariant spaces
Basic functional properties of certain scale of rearrangement‐invariant spaces
Abstract We define a new scale of function spaces governed by a norm‐like functional based on a combination of a rearrangement‐invariant norm, the elementary maximal function, and powers. A particular instance of such spaces surfaced recently in connection with optimality of target function spaces in general Sobolev embeddings involving upper …