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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 …
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…