26 citations · 61 across the 9 of their papers we have counts for
Showing 2015Show all
2 papers · 1 filter
math.OA2015★ 2 cited
Characterizations of operator-valued Hardy spaces and applications to harmonic analysis on quantum tori
Runlian Xia, Xiao Xiong, Quanhua Xu
This paper deals with the operator-valued Hardy spaces introduced and studied by Tao Mei. Our principal result shows that the Poisson kernel in Mei's definition of these spaces can…
math.OA2015
Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori
Xiao Xiong, Quanhua Xu, Zhi Yin
This paper gives a systematic study of Sobolev, Besov and Triebel-Lizorkin spaces on a noncommutative -torus (with a skew symmetric real -matrix)…