Let R be the vector of Riesz transforms on\mathbb R^ n R n, and let μ, λ ∈ A_p μ, λ∈ A p be
two weights on\mathbb R^ n R n, 1< p< ∞ 1< p<∞. The two-weight norm inequality for the …

In this paper, it was proposed to carry out a preliminary normalization of diagnostic
parameters using the Johnson distribution, which with three basic distribution groups (SL …

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 …

Let T be a non-degenerate Calderón–Zygmund operator and let b: ℝ d→ ℂ be locally
integrable. Let 1< p≤ q<∞ and let μ p∈ A p and λ q∈ A q, where A p denotes the usual …

Let B be a locally integrable matrix function, W a matrix A p weight with 1< p<∞, and T be
any of the Riesz transforms. We will characterize the boundedness of the commutator [T, B] …

In this paper, we approach the two weighted boundedness of commutators via matrix
weights. This approach provides both a sufficient and a necessary condition for the two …

Utilising some recent ideas from our bilinear bi-parameter theory, we give an efficient proof
of a two-weight Bloom-type inequality for iterated commutators of linear bi-parameter …

In this paper we investigate weighted norm inequalities for the commutator of a fractional
integral operator and multiplication by a function. In particular, we show that, for …

We prove Bloom type two-weight inequalities for commutators of multilinear singular integral
operators including Calder\'on-Zygmund operators and their dyadic counterparts. Such …

A sufficient condition for the two-weight boundedness of higher order commutators was
recently obtained by Holmes and Wick in terms of an intersection of two BMO spaces. We …