4 papers
Multi-parameter flag Leibniz rules of arbitrary complexity in mixed-norm spaces
Cristina Benea, Yujia Zhai
We prove multi-parameter Leibniz rules corresponding to flag paraproducts of arbitrary complexity in mixed-norm spaces, including endpoint estimates. The proof relies on multi-line…
The non-resonant bilinear Hilbert--Carleson operator
Cristina Benea, Frederic Bernicot, Victor Lie +1
In this paper we introduce the class of bilinear Hilbert--Carleson operators defined by $$ BC^{a}(f,g)(x):= \sup_{λ\in {\mathbb R}} \Big|\int f(x-t)\, g(x+t)\, e^{…
Mixed-norm estimates via the helicoidal method
Cristina Benea, Camil Muscalu
We prove multiple vector-valued and mixed-norm estimates for multilinear operators in $\rr R^d$, more precisely for multilinear operators associated to a symbol singular alon…
Multiple vector-valued, mixed norm estimates for Littlewood-Paley square functions
Cristina Benea, Camil Muscalu
We prove that for any -valued Schwartz function defined on , one has the multiple vector-valued, mixed norm estimate $$ \| f \|_{L^P(L^Q)} \lesssim \| S f \|…