167 citations · 538 across the 40 of their papers we have counts for
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Optimal orders of the best constants in the Littlewood-Paley inequalities
Quanhua Xu
Let be the classical Poisson semigroup on and the associated Littlewood-Paley -function operator: $$G^{\mathbb{P}}(f)=\B…
Weighted variation inequalities for differential operators and singular integrals in higher dimensions
Tao Ma, José Luis Torrea, Quanhua Xu
We prove weighted -variation inequalities with for differential and singular integral operators in higher dimensions. The vector-valued extensions of these inequali…
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…
On the growth of vector-valued Fourier series
Javier Parcet, Fernando Soria, Quanhua Xu
We prove the 'little Carleson theorem' on the growth of Fourier series for functions taking values in a UMD Banach space.