Abstract
Let L = −Δ+V be aS chroperator, where Δ is the Laplacian on R n , while nonnegative potential V belongs to the reverse Holder class. In this paper, we study the bound- edness of the Marcinkiewicz operator associated with Schrodinger operator μ L on generalized Morrey spaces Mp,ϕ .W efind the sufficient conditions on the pair (ϕ1,ϕ2) which ensures the boundedness of the operators μ L from one generalized Morrey space Mp,ϕ1 to another Mp,ϕ2 , 1 < p < ∞ and from the space M1,ϕ1 to the weak space WM1,ϕ2 .
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