20 citations · 32 across the 20 of their papers we have counts for
22 papers
Multi-scale analysis for multilinear operators
Mingming Cao, Binyu Du, Kôzô Yabuta
We develop a unified multi-scale framework for sparse domination of multilinear operators beyond the multilinear Calderón--Zygmund theory. More precisely, under mild hypotheses on…
Multilinear extrapolation of compactness on mixed-norm spaces
Mingming Cao, Binyu Du, Honghai Liu +2
In this paper, we develop the Rubio de Francia extrapolation theorem for the multilinear compactness on mixed-norm Lebesgue spaces. More precisely, if a multilinear operator is bou…
Dyadic analysis of compactness on product spaces
Mingming Cao, Kôzô Yabuta
We develop the compactness theory of multilinear singular integrals on product spaces using a modern point of view. The first main result is a compact theorem for multilinear…
A characterization of compactness via bilinear theorem
Mingming Cao, Honghai Liu, Zengyan Si +1
In this paper we solve a long standing problem about the bilinear theorem to characterize the (weighted) compactness of bilinear Calderón-Zygmund operators. Let be a bilin…
A compact theorem for Calderón-Zygmund operators associated with Zygmund dilations
Mingming Cao, Jiao Chen, Zhengyang Li +3
We develop a compact version of theorem for singular integrals of Zygmund type on . More specifically, if a -Calderón-Zygmund operator …
A compact extension of Journé's theorem on product spaces
Mingming Cao, Kôzô Yabuta, Dachun Yang
We prove a compact version of the theorem for bi-parameter singular integrals. That is, if a bi-parameter singular integral operator admits the compact full and partial ke…
A class of multilinear bounded oscillation operators on measure spaces and applications
Mingming Cao, Gonzalo Ibañez-Firnkorn, Israel P. Rivera-Ríos +2
In this paper, we develop a comprehensive weighted theory for a class of Banach-valued multilinear bounded oscillation operators on measure spaces, which merges multilinear Calderó…
Limited range extrapolation with quantitative bounds and applications
Mingming Cao, Honghai Liu, Zengyan Si +1
In recent years, sharp or quantitative weighted inequalities have attracted considerable attention on account of conjecture solved by Hytönen. Advances have greatly improved…
On the weak boundedness of multilinear Littlewood--Paley functions
Mahdi Hormozi, Yoshihiro Sawano, Kozo Yabuta
In this note, notwithstanding the generalization, we simplify and shorten the proofs of the main results of the third author's paper \cite{SXY} significantly. In particular, the ne…
Absolute continuity of degenerate elliptic measure
Mingming Cao, Kôzô Yabuta
Let be an open set whose boundary may be composed of pieces of different dimensions. Assume that satisfies the quantitative openness and connectedne…
Extrapolation for multilinear compact operators and applications
Mingming Cao, Andrea Olivo, Kôzô Yabuta
This paper is devoted to studying the Rubio de Francia extrapolation for multilinear compact operators. It allows one to extrapolate the compactness of from just one space to t…
Weak and strong type estimates for the multilinear Littlewood-Paley operators
Mingming Cao, Mahdi Hormozi, Gonzalo Ibañez-Firnkorn +3
Let be the multilinear square function defined on the cone with aperture . In this paper, we investigate several kinds of weighted norm inequalities for . We fi…
VMO spaces associated with Neumann Laplacian
Mingming Cao, Kôzô Yabuta
In this paper, we establish several different characterizations of the vanishing mean oscillation space associated with Neumann Laplacian , written ${\rm VMO}_{Δ_N}(\mathbb{R}…
Weighted Fréchet-Kolmogorov theorem and compactness of vector-valued multilinear operators
Qingying Xue, Kozo Yabuta, Jingquan Yan
In this paper, we gave a weighted compactness theory for the generalized commutators of vecotor-valued multilinear Calderón-Zygmund operators. This was done by establishing a weigh…
Regularity and continuity of the multilinear strong maximal operators
Feng Liu, Qingying Xue, Kozo Yabuta
Let , in this paper, our object of investigation is the regularity and and continuity properties of the following multilinear strong maximal operator $${\mathscr{M}}_{\math…
The -linear embedding theorem for dyadic rectangles
Hitoshi Tanaka, Kozo Yabuta
Let $\sg_i$, , denote reverse doubling weights on , let $\cdr(\R^d)$ denote the set of all dyadic rectangles on (Cartesian products of usual dyadic inter…
On Some properties of dyadic operators
Heng Gu, Qingying Xue, Kozo Yabuta
In this paper, the objects of our investigation are some dyadic operators, including dyadic shifts, multilinear paraproducts and multilinear Haar multipliers. We mainly focus on th…
On the bilinear square Fourier multiplier operators and related multilinear square functions
Zengyan Si, Qingying Xue, Kozo Yabuta
Let and be the bilinear square Fourier multiplier operator associated with a symbol , which is defined by $$ \mathfrak{T}_{m}(f_1,f_2)(x) = \biggl( \…
On the Boundedness of Multilinear Fractional Strong Maximal Operator with multiple weights
Mingming Cao, Qingying Xue, Kozo Yabuta
In this paper, we investigated the boundedness of multilinear fractional strong maximal operator associated with rectangles or related to more general…
The existence and boundedness of multilinear Marcinkiewicz integrals on Companato spaces
Qingying Xue, Kozo Yabuta
In this paper, we established the boundedness of m-linear Marcinkiewicz integral on Campanato type spaces. We showed that if the -linear Marcinkiewicz integral is finite for one…
On multilinear fractional strong maximal operator associated with rectangles and multiple weights
Mingming Cao, Qingying Xue, Kozo Yabuta
In this paper, the multilinear fractional strong maximal operator associated with rectangles and corresponding multiple weights $A_{(\vec{p},q),\mathc…
Fractional type Marcinkiewicz integral operators associated to surfaces
Yoshihiro Sawano, Kôzô Yabuta
In this paper, we discuss the boundedness of the fractional type Marcinkiewicz integral operators associated to surfaces, and extend a result given by Chen, Fan and Ying in 2002. T…