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math.OA2018
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…
math.OA2018
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…