Adams-spanne Type Estimates for Certain Sublinear Operators and Their Commutators Generated by Fractional Integrals in Generalized Morrey Spaces on Heisenberg Groups and Some Applications
نویسنده
چکیده
In this paper we consider the Spanne type boundedness of sublinear operators and prove the Adams type boundedness theorems for these operators and also give BMO (bounded mean oscillation space) estimates for their commutators in generalized Morrey spaces on Heisenberg groups. The boundedness conditions are formulated in terms of Zygmund type integral inequalities. Based on the properties of the fundamental solution of the sub-Laplacian on Heisenberg groups, we prove the the boundedness of some Schrödinger type operators and their commutators in generalized Morrey spaces.
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