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On a bridge connecting Lebesgue and Morrey spaces in view of their growth properties

On a bridge connecting Lebesgue and Morrey spaces in view of their growth properties

We study generalized Morrey spaces [Formula: see text] and Besov–Morrey spaces related to them. These spaces appear quite naturally in connection with the study of PDE or to characterize boundedness of certain integral operators. Here, we study unboundedness properties of functions belonging to those spaces in terms of their growth …