4 papers
Algebraic Calderón-Zygmund theory
Marius Junge, Tao Mei, Javier Parcet +1
Calderón-Zygmund theory has been traditionally developed on metric measure spaces satisfying additional regularity properties. In the lack of good metrics, we introduce a new appro…
Mapping properties of operator-valued pseudo-differential operators
Runlian Xia, Xiao Xiong
In this paper, we investigate the mapping properties of pseudo-differential operators with operator-valued symbols. Thanks to the smooth atomic decomposition of the operator-valued…
Operator-valued Triebel-Lizorkin spaces
Runlian Xia, Xiao Xiong
This paper is devoted to the study of operator-valued Triebel-Lizorkin spaces. We develop some Fourier multiplier theorems for square functions as our main tool, and then study the…
Operator-valued local Hardy spaces
Runlian Xia, Xiao Xiong
This paper gives a systematic study of operator-valued local Hardy spaces. These spaces are localizations of the Hardy spaces defined by Tao Mei, and share many properties with Mei…