Estimates for multilinear commutators of generalized fractional integral operators on weighted Morrey spaces

الأصل · EN

Let L be the infinitesimal generator of an analytic semigroup on L²(Rⁿ) with Gaussian kernel bounds, and let L⁻α/² be the fractional integrals of L for 0<α<n. Assume that b=(b₁,b₂,,bₘ) is a finite family of locally integrable functions, then the multilinear commutators generated by b and L⁻α/² is defined by equation* Lb⁻α/²f=[bₘ,,[b₂,[b₁,L⁻α/²]],,]f equation* when bⱼ∈ BMO(w), j=1,2,,m, the authors obtain the boundedness of Lb⁻α/² on weighted Morrey spaces.