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 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 …

We characterize the compactness of commutators in the Bloom setting. Namely, for a
suitably non-degenerate Calderón–Zygmund operator T, and a pair of weights σ, ω∈ A p …

Multilinear commutators in the two‐weight setting - Li - 2022 - Bulletin of the London
Mathematical Society - Wiley Online Library Skip to Article Content Skip to Article …

We develop a biparameter theory for matrix weights and provide various biparameter matrix-
weighted bounds for Journé operators as well as other central operators under the …

We represent a general bilinear Calderón–Zygmund operator as a sum of simple dyadic
operators. The appearing dyadic operators also admit a simple proof of a sparse bound. In …

This paper builds the extrapolation theory on weighted product Morrey spaces. To prove the
main result, we introduce the weighted product block spaces which are the pre-duals of …

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 prove that a multilinear singular integral operator $ T $ on product spaces
can be extended to a compact multilinear operator from $ L^{p_1}(w_1^{p_1})\times\cdots …

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