The Carleson Measure Problem Between Analytic Morrey Spaces

Abstract

AbstractThe purpose of this paper is to characterize positive measure μ on the unit disk such that the analytic Morrey space is boundedly and compactly embedded to the tent spacefor the case 1 ≤ q ≤ p ∞ respectively. As an application, these results are used to establish the boundedness and compactness of integral operators and multipliers between analytic Morrey spaces.