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math.FA2022
Noncommutative Cotlar identities for groups acting on tree-like structures
Adrian Gonzalez-Perez, Javier Parcet, Runlian Xia
Let be a noncommutative Fourier multiplier. In recent work, Mei and Ricard introduced a noncommutative analogue of Cotlar's identity in order to prove that certain multiplier…
math.OA2022
Asymmetric Burkholder inequalities in noncommutative symmetric spaces
Lian Wu, Runlian Xia, Dejian Zhou
In this paper, we establish noncommutative Burkholder inequalities with asymmetric diagonals in symmetric operator spaces. Our proof mainly relies on a new complex interpolation re…