Some Properties Of Maximal And Calderón-Zygmund Operators

This dissertation is divided into four parts. In the first chapter, we will discuss bounedness of center maximal operators M_ω,υ on homogeneous spaces, whereυ,μis Borel measure on X, satisfying doubling property. we obtain an other proof of theorem in [4]. In the second chapter, we will discuss bounedness of maximal operators in Morrey spaces, and obtain an equivalent relation between maximal operators M_q and M, In the third chapter, we will discuss the boundedness of commutators of Calderón-Zygmund operators with RBMO(μ) on Morrey spaces, which the measureμis non doubling. In the last chapter, we will discuss the boundedness ofθ-type Calderon-Zygmund operator on weighted Herz-type Hardy spaces.