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 …

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 …

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 …

We provide a study of the Riesz transforms on stratified nilpotent Lie groups, and obtain a
certain version of the pointwise lower bound of the Riesz transform kernel. Then we …

Let λ> 0 and Δ _ λ:=-d^ 2 dx^ 2-2 λ xd dx Δ λ:=− d 2 dx 2− 2 λ xddx be the Bessel operator on
R+:=(0,∞). We first introduce and obtain an equivalent characterization of CMO (R+, x 2 λ …

Part of the intrinsic structure of singular integrals in the Bessel setting is captured by
Muckenhoupt-type weights. Anderson–Kerman showed that the Bessel Riesz transform is …

Abstract Fix λ>-1/2 and λ≠ 0. Consider the Bessel operator (introduced by Muckenhoupt–
Stein)▵ λ:=-d 2 dx 2-2 λ xd dx on R+:=(0,∞) with dm λ (x):= x 2 λ dx and dx the Lebesgue …

In this paper, we provide a constructive proof of H 1 (ℝ n) H^1(R^n) factorization in terms of
multilinear Calderón–Zygmund operators in Morrey spaces. As a direct application, we …

Weak Factorizations of the Hardy Space H (R n) in Terms of Multilinear Riesz Transforms Page
1 Canad. Math. Bull. Vol. (), pp. – http://dx.doi.org/. /CMB-- ©Canadian Mathematical Society …

We provide an atomic decomposition of the product Hardy spaces $ H^ p (\widetilde {X}) $
which were recently developed by Han, Li, and Ward in the setting of product spaces of …