In this paper, we consider the commutator [b,T] : L2 → L2, where b ∈ BMO and T is defined by the convolution type Calderón–Zygmund operators satisfying the ...

In this paper, we consider the commutator [b,T]:L2→L2, where b∈BMO and T is defined by the convolution type Calderón–Zygmund operators satisfying the weak ...

established the CRW theorem for non-convolution operators under some conditions stronger than the Hörmander condition up to two logarithm levels.

Jun 4, 2018 · Yang Q., Lou Z. Commutators and rough kernels without zero homogeneous condition // International Journal of Wavelets, Multiresolution and ...

This paper gives a characterization of compactness for maximal commutators with rough kernels in weighted Lebesgue spaces, which is new and interesting even in ...

Let b∈BMO(Rn) b ∈ BMO ⁡ ( R n ) and MΩ M Ω be the Marcinkiewicz integral operatorwith kernel Ω(x)|x|n−1 Ω ( x ) | x | n − 1 , where Ω Ω is homogeneous of ...

Introduction. The first systematic approach to proving Ap weighted norm inequalities for singular integrals in R™ was the method of Coifman and.

... homogeneous of degree zero and have mean value zero on Sn−1. Suppose that Ω ∈ Lq. (S n−1. ) for some q ∈ (1, ∞], p and w satisfy one of the conditions in ...

It is well-known that the commutator is an important integral operator and it plays a key role in harmonic analysis. In 1965, Calderon [3,4] studied a kind ...

Abstract. Let Ω ∈ Lq(Sn−1) be a homogeneous function of degree zero with q > 1 and have a mean value zero on Sn−1 . In this paper, we study the boundedness ...