In recent years, it has been well understood that a Calderón–Zygmund operator T is
pointwise controlled by a finite number of dyadic operators of a very simple structure (called …

Supplying the missing necessary conditions, we complete the characterisation of the L p→ L
q boundedness of commutators [b, T] of pointwise multiplication and Calderón–Zygmund …

We obtain a Bloom‐type characterization of the two‐weighted boundedness of iterated
commutators of singular integrals. The necessity is established for a rather wide class of …

In this paper, we establish the two weight commutator theorem of Calderón–Zygmund
operators in the sense of Coifman–Weiss on spaces of homogeneous type, by studying the …

We study the Schatten class membership of semicommutative martingale paraproducts and
use the transference method to describe Schatten class membership of purely …

We characterize the boundedness of the commutators [b, T] with biparameter Journé
operators T in the two-weight, Bloom-type setting, and express the norms of these …

In this paper we obtain an explicit formula of the Cauchy-Szegő kernel for quaternionic
Siegel upper half space, and then based on this, we prove that the Cauchy-Szegő projection …

We will introduce the basics of dyadic harmonic analysis and how it can be used to obtain
weighted estimates for classical Calderón–Zygmund singular integral operators and their …

In this paper we study the commutator of Cauchy type integrals C on a bounded strongly
pseudoconvex domain D in Cn with boundary bD satisfying the minimum regularity …

In this paper some new results concerning the C p classes introduced by Muckenhoupt
(1981) and later extended by Sawyer (1983), are provided. In particular, we extend the result …