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math.CA2013
Weighted variation inequalities for differential operators and singular integrals
Tao Ma, Jose Luis Torrea, Quanhua Xu
We prove weighted strong -variation inequalities with for differential and singular integral operators. For the first family of operators the weights used can be ei…
math.OA2013
A Helson-Szegö theorem for subdiagonal subalgebras with applications to Toeplitz operators
Louis E Labuschagne, Quanhua Xu
We formulate and establish a noncommutative version of the well known Helson-Szego theorem about the angle between past and future for subdiagonal subalgebras. We then proceed to u…