Let μ be a positive locally finite Borel measure on R n that is doubling, and define the
homogeneous W s μ-Sobolev norm squared f W s μ 2 of a function f∈ L loc 2 μ by∫ R n∫ R …

This article develops a novel approach to the representation of singular integral operators of
Calderón–Zygmund type in terms of continuous model operators, in both the classical and …

arXiv:2111.06277v4 [math.CA] 26 Sep 2022 Page 1 arXiv:2111.06277v4 [math.CA] 26 Sep
2022 A T1 THEOREM FOR GENERAL SMOOTH CALDERON-ZYGMUND OPERATORS WITH …

We provide full characterisation of the Schatten properties of [M b, T], the commutator of
Calderón–Zygmund singular integral T with symbol b (M bf (x):= b (x) f (x)) on stratified Lie …

If T is a smooth Stein elliptic fractional singular integral, 1< p< infinity, and sigma and omega
are doubling measures, then the two weight L^{p} norm inequality holds if and only if the …

We begin an investigation into extending the T 1 theorem of David and Journé, and the
corresponding optimal cancellation conditions of Stein, to more general pairs of distinct …

Two Weight $$L^{p}$$ Inequalities for $$\lambda $$ -Fractional Vector Riesz Transforms
and Doubling Measures | The Journal of Geometric Analysis Skip to main content Springer …

We show that for two doubling measures on n dimensional Euclidean space, any gradient-
elliptic smooth fractional Calderon-Zygmund operator T, and any fixed dyadic grid D, the …

We represent a bilinear Calderón–Zygmund operator at a given smoothness level as a finite
sum of cancellative, complexity-zero operators, involving smooth wavelet forms, and …

We extend the T1 theorem of David and Journé, and the corresponding optimal cancellation
conditions of Stein, to pairs of doubling measures, completing the weighted theory begun in …