Hardy Spaces Associated with Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type: Littlewood—Paley Characterizations with Applications to …

XJ Yan, ZY He, DC Yang, W Yuan - Acta Mathematica Sinica, English …, 2022 - Springer
Abstract Let (χ, ρ, μ) be a space of homogeneous type in the sense of Coifman and Weiss,
and Y (χ) a ball quasi-Banach function space on χ, which supports both a Fefferman-Stein …

Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual …

X Yan, Z He, D Yang, W Yuan - Mathematische Nachrichten, 2023 - Wiley Online Library
Abstract Let (X, ρ, μ) (X,ρ,μ) be a space of homogeneous type in the sense of Coifman and
Weiss, and let Y (X) Y(X) be a ball quasi‐Banach function space on XX, which supports both …

Weak Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: decompositions, real interpolation, and Calderón–Zygmund …

J Sun, D Yang, W Yuan - The Journal of Geometric Analysis, 2022 - Springer
Abstract Let (X, d, μ) be a space of homogeneous type in the sense of Coifman and Weiss,
and X (X) a ball quasi-Banach function space on X. In this article, the authors introduce the …

Molecular characterization of weak Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type with its applications to …

J Sun, D Yang, W Yuan - Forum Mathematicum, 2022 - degruyter.com
Abstract Let (𝕏, d, μ) be a space of homogeneous type in the sense of RR Coifman and G.
Weiss, and let X⁢(𝕏) be a ball quasi-Banach function space on 𝕏. In this article, the authors …

Parabolic Muckenhoupt weights with time lag on spaces of homogeneous type with monotone geodesic property

J Kinnunen, K Myyryläinen, D Yang, C Zhu - Potential Analysis, 2024 - Springer
This work discusses parabolic Muckenhoupt weights with time lag on spaces of
homogeneous type with an extra monotone geodesic property. The main results include a …

On the boundedness and Schatten class property of noncommutative martingale paraproducts and operator-valued commutators

Z Wei, H Zhang - arXiv preprint arXiv:2407.14988, 2024 - arxiv.org
We study the Schatten class membership of semicommutative martingale paraproducts and
use the transference method to describe Schatten class membership of purely …

An explicit formula of Cauchy-Szegő kernel for quaternionic Siegel upper half space and applications

DC Chang, XT Duong, J Li, W Wang, Q Wu - Indiana University Mathematics …, 2021 - JSTOR
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 …

Dyadic harmonic analysis and weighted inequalities: the sparse revolution

MC Pereyra - New Trends in Applied Harmonic Analysis, Volume 2 …, 2019 - Springer
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 …

[PDF][PDF] Commutators of Cauchy-Szego type integrals for domains in C^ n with minimal smoothness

X Duong, M Lacey, J Li, B Wick, Q Wu - Indiana University Mathematics …, 2021 - par.nsf.gov
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 …

The $ L^ p $-to-$ L^ q $ Compactness of Commutators with $ p> q$

T Hytönen, K Li, J Tao, D Yang - arXiv preprint arXiv:2208.10016, 2022 - arxiv.org
Let $1< q< p<\infty $, $\frac1r:=\frac1q-\frac1p $, and $ T $ be a non-degenerate Calder\'on--
Zygmund operator. We show that the commutator $[b, T] $ is compact from $ L^ p ({\mathbb …