A multi (sub) linear maximal operator that acts on the product of m Lebesgue spaces and is
smaller than the m-fold product of the Hardy–Littlewood maximal function is studied. The …

Let R be the vector of Riesz transforms on\mathbb R^ n R n, and let μ, λ ∈ A_p μ, λ∈ A p be
two weights on\mathbb R^ n R n, 1< p< ∞ 1< p<∞. The two-weight norm inequality for the …

The treatment of dust attenuation is crucial in order to compare the predictions of galaxy
formation models with multiwavelength observations. Most past studies have used either …

In this paper, we study the duality theory of the multi-parameter Triebel-Lizorkin spaces $\dot
F^{\alpha, q} _ {p}(\mathbb R^{m}) $ associated with the composition of two singular integral …

We characterize L p boundedness of iterated commutators of multiplication by a symbol
function and tensor products of Riesz and Hilbert transforms. We obtain a two-sided norm …

In this paper, we introduce the Carleson measure space CMOp on product spaces of
homogeneous type in the sense of Coifman and Weiss [4], and prove that it is the dual space …

In this paper, we use the discrete Littlewood–Paley–Stein analysis to get the duality result of
the weighted product Hardy space for arbitrary number of parameters under a rather weak …

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 …

We recover one-dimensional Calderón-Zygmund convolution operators with sufficiently
smooth kernels by means of a properly chosen averaging of certain dyadic shift operators …

The main purpose of this paper is to establish the theory of the multi-parameter Hardy
spaces $ H^ p $($0< p\leq 1$) associated to a class of multi-parameter singular integrals …