Boundedness of the high order commutators with Besov functions on the non-homogeneous spaces;

Sawano and the duality theory,the authors give the Fefferman-Stein weighted valuable maximal inequalities on non-homogeneous space that generalize the results of K.

In this paper, the authors prove Tl theorem on nonhomogeneous spaces with Dini kernel conditions, obtain weighted version of Fefferman-Stein vector valued maximal inequality and establish Tl theorem for weighted Triebel-Lizorkin spaces on nonhomogeneous spaces.

The boundedness is established of the commutators generated by Calderón-Zygmund operators or fractional integrals with RBMO(μ) functions or Lipschitz functions in Morrey spaces on nonhomogeneous spaces.

In this paper,we assumeFirst,we discuss the boundedness of the sharp Bochner-Riesz operators andits multilinear commutators on non-homogeneous Morrey space M˙pm (Rn).

Exponential integrelity for maximal singular integral on space of homogeneous type;

A weighted weak type endpoint estimate with Ap weights is established for the commutators of singular integral operators in the space of homogeneous type.

In this paper,by using the equivalent difinition of homogeneous Herz-Morrey space in the space of homogeneous type,we study the boundedness of commutator of fractional integral operator on this space.

Boundedness of maximal operators in Morrey-type spaces on homogeneous spaces;

On the existence and Lipschitz boundedness of maximal operator on homogeneous spaces.;

A kind of singular integral operators on homogeneous spaces are defined.

Let X the homogeneous type space,Φ be a Young function,suppose that sublinear operator is bounded from T LΦ(X,ω) to LΦ(X+,β),then it holds that is weighted and bounded from generalized Orlicz-Campanato space T LΦ,φ(X,ω) to LΦ,φ(X +,β).

The weighted interpolation theorem of operators on homogeneous type spaces is proved and is used to show the weighted boundedness of L￣p(p>1)and weak L￣1 for Calderon-Zygmund operator on homogeneous type spaces.