Boundedness Of Operators And Commutators

In chapter l, let n > 2, tt.e establish the boundedlless oll llreiglited Herz spaces for a largeclase of rough operators alld their comnmtators x'ith BMO funct1olls. In particular. the Calder6ll-Zygmund singular integrals and the rougl1 H.Feffermall sillgular illtegral operators alld the rougl1Ricci--Stein oscillatory singular integrals and the correspondent cotllnmtators are collsideredIn chapter 2, Iet n > 2, tte establish tl1e boundedness on tt-eighted Herz spaces fOr a largeclass of the rough fractional conunutators.Ill chaPter 3, let n Z 2. we collsider the xteighted LP (Rn ) bouudedness fOr the nmltilillearsingular integral operators with polynolllIal phases. This conclusioll can be applied to lllany.nlultilinear oscillatory iutegrals.In ChaPter 4, Iet n > 2. we establisl1 the boulldedlless of some rough operators satisf3ingcertain size conditions on generalized Morre}' Spaces LP-p(L4" ) which illtroduced by 3Iizul1ara in...