Weighted norm inequalities for vector-valued singular integrals on homogeneous spaces

Maximal Operator and Weighted Norm Inequalities for Multilinear Singular Integrals

The analysis of multilinear singular integrals has much of its origins in several works by Coifman and Meyer in the 70’s; see for example [3]. More recently, in [4] and [5], an updated systematic treatment of multilinear singular integral operators of Calderón-Zygmund type was presented in light of some new developments. See also [6] and the references therein for a detailed description of prev...

Weighted norm inequalities for a class of rough singular integrals

Weighted norm inequalities are proved for a rough homogeneous singular integral operator and its corresponding maximal truncated singular operator. Our results are essential improvements as well as extensions of some known results on the weighted boundedness of singular integrals.

Vector-valued singular integrals and maximal functions on spaces of homogeneous type

The Fefferman-Stein vector-valued maximal function inequality is proved for spaces of homogeneous type. The approach taken here is based on the theory of vector-valued Calderón-Zygmund singular integral theory in this context, which is appropriately developed.

Weighted norm inequalities for singular integral operators

Weight Inequalities for Singular Integrals Defined on Spaces of Homogeneous and Nonhomogeneous Type

Optimal sufficient conditions are found in weighted Lorentz spaces for weight functions which provide the boundedness of the Calderón– Zygmund singular integral operator defined on spaces of homogeneous and nonhomogeneous type. 2000 Mathematics Subject Classification: 42B20, 42B25.