Application of general approach to the theory of Morrey-type spaces

In this paper, we generalize constructions of Morrey spaces by using as a basic space a general rearrangement invariant space (Formula presented.) instead of (Formula presented.) and a general ideal space (Formula presented.) for outer norm instead of (Formula presented.) or (Formula presented.). Embeddings, nontriviality conditions, and inclusion into a general concept of ideal spaces and generalized rearrangement invariant spaces are discussed. © 2020 John Wiley & Sons, Ltd.