The Boundedness Of Some Calderon-Zygmund Operators And Their Commutators

In the recent thesis, we study the boundedness of some classes of multilinear operators and their commutators. The paper is constituted with five chapters.In chapter1, we introduce the background and main results about m-linear singular integral operator and other operators associated with it. And we introduce Toeplitz operators. Besides, we also illustrate how and why this topics comes out.In chapter2, we present the weighted estimates for the iterated commutator of the maximal multilinear operator with non-doubling measures on product lebesgue spaces.In chapter3, we consider the weighted weak type estimates for the iterated commutators of the maximal multilinear operator with non-doubling measures on product lebesgue spaces.In chapter4, we obtain multiple weighted estimates for the m-linear commutators of multi-linear singular integrals on products of weighted Morrey spaces.In chapter5. we discuss λ-center BMO estimates for Toeplitz operators related to some singular intergral.