Non-homogeneous Type Morrey Spaces In Several Operator Boundedness

This dissertation consists of two paxts.In first chapter,we mainly introduce the boundedness of some classical operators in harmonic analysis and their vector-valued extension in Morrey space for Radon measures which may be nondoubling but satisfy certain growth condition. we also give the proof of Corollary 1.1.2 and add a supplement to the proof of Corollary 1.1.1:Corollary 1.1.1 let 1< q ≤ p < ∞,1< t ≤ s < ∞,t/s=q/p,1/s=q/p-α/n,1 1,0 < a < n,n is the the same with the parameter in the growthcondition of \x.Theorem 2.1.8(1) 1< q < p < oo,m < q,l < k, Mm^ is a bounded operator from M￡(//) toMP(/*),that is(2) 0