The factorization of via multilinear Calderón–Zygmund operators on weighted Lebesgue spaces

D Wang, R Zhu, L Shu - Annals of Functional Analysis, 2023 - Springer
We extend the recently much-studied Hardy factorization theorems to the weight case. The
key point of this paper is to establish the factorization theorems without individual condition …

Commutators on Spaces of Homogeneous Type in Generalized Block Spaces

TT Dung, NA Dao, XT Duong, LT Nghia - The Journal of Geometric …, 2024 - Springer
In this paper, we are interested in studying a generalized block space (denoted as B φ p, r)
on a space of homogeneous type. We show that this space is the predual of certain …

On the Predual of a Morrey–Lorentz Space and Its Applications to the Linear Calderón–Zygmund Operators

NA Dao, SG Krantz - Frontiers of Mathematics, 2024 - Springer
Our main purpose in this paper is to construct a predual of Morrey–Lorentz space via the
block spaces, defined in [Ann. Scuola Norm. Sup. Pisa Cl. Sci.(4), 1999, 28 (1): 31–40]. As a …

Endpoint theory for the compactness of commutators

D Wang, X Hu, S Qi - arXiv preprint arXiv:2309.10343, 2023 - arxiv.org
In this paper, we establish a Minkowski-type inequality for weak Lebesgue space, which
allows us to obtain a characterization of relative compactness in these spaces. Furthermore …

Weak Factorizations of the Hardy Spaces in Terms of Multilinear Calder\'on-Zygmund Operators on Ball Banach Function Spaces

Y Zhao, X Tao, J Zhou - arXiv preprint arXiv:2411.06717, 2024 - arxiv.org
In this paper, our main purpose is to establish a weak factorization of the classical Hardy
spaces in terms of a multilinear Calder\'on-Zygmund operator on the ball Banach function …

[PDF][PDF] HARDY OPERATORS AND COMMUTATORS ON GENERALIZED CENTRAL FUNCTION SPACES

NA Dao - Mathematical Inequalities & Applications, 2022 - files.ele-math.com
In this paper, we would like to study the boundedness of operators of Hardy type on
generalized central function spaces, such as the generalized central Hardy space HAp ϕ …