Multilinear Commutators of Calderón-Zygmund Operator on Generalized Weighted Morrey Spaces

الملخص EN

The boundedness of multilinear commutators of Calderón-Zygmund operator Tb→ on generalized weighted Morrey spaces Mp,φ(w) with the weight function w belonging to Muckenhoupt's class Ap is studied.

When 1

In all cases the conditions for the boundedness of Tb→ are given in terms of Zygmund-type integral inequalities on (φ1,φ2), which do not assume any assumption on monotonicity of φ1(x,r), φ2(x,r) in r.