J. Roos

collaborators

3 papers

math.CA2019

Maximal functions associated with families of homogeneous curves: $L^{p}$ bounds for $p \leq 2$

Shaoming Guo, Joris Roos, Andreas Seeger +1

Let $M^{(u)}$ , $H^{(u)}$ be the maximal operator and Hilbert transform along the parabola $(t, u t^{2})$ . For $U \subset (0, \infty)$ we consider $L^{p}$ estimates for the maximal functio…

math.CA2019

A maximal function for families of Hilbert transforms along homogeneous curves

Shaoming Guo, Joris Roos, Andreas Seeger +1

Let $H^{(u)}$ be the Hilbert transform along the parabola $(t, u t^{2})$ where $u \in R$ . For a set $U$ of positive numbers consider the maximal function $\mathcal{H}^U \!f= \s…

math.CA2018

Averages of simplex Hilbert transforms

Polona Durcik, Joris Roos

We study a multilinear singular integral obtained by taking averages of simplex Hilbert transforms. This multilinear form is also closely related to Calderón commutators and the tw…

Maximal functions associated with families of homogeneous curves: Lp bounds for p≤2

A maximal function for families of Hilbert transforms along homogeneous curves

Averages of simplex Hilbert transforms

Maximal functions associated with families of homogeneous curves: $L^{p}$ bounds for $p \leq 2$