J. Rozendaal

activity

20242026

collaborators

7 papers

math.AP2026

Local smoothing for rough wave equations

Jan Rozendaal, Robert Schippa

We prove local smoothing estimates for wave equations with $C^{r}$ coefficients, relying on bilinear restriction estimates associated with rough wave propagation. In two and three…

math.CA2026

Spherical maximal functions and Hardy spaces for Fourier integral operators

Abhishek Ghosh, Naijia Liu, Jan Rozendaal +1

We use the Hardy spaces for Fourier integral operators to obtain bounds for spherical maximal functions in $L^{p} (R^{n})$ , $n \geq 2$ , where the radii of the spheres are res…

math.AP2026

Function spaces for decoupling

Andrew Hassell, Pierre Portal, Jan Rozendaal +1

We introduce new function spaces $L_{W, s}^{q, p} (R^{n})$ that yield a natural reformulation of the $ℓ^{q} L^{p}$ decoupling inequalities for the sphere and the…

math.AP2025

Propagation of singularities for equations with $C^{r}$ coefficients for $r > 1$

Jan Rozendaal

We observe that, for $r > 1$ , $s$ in an $r$ -dependent interval, $p$ a homogeneous pseudodifferential symbol of order $m$ having $C^{r}$ regularity in space, and $u\in H^{s+m-r}(\math…

math.AP2025

The Hardy spaces $H_{F I O}^{p} (R^{n})$ for Fourier integral operators for $p < 1$

Naijia Liu, Jan Rozendaal, Liang Song

We introduce the Hardy spaces $H_{F I O}^{p} (R^{n})$ for Fourier integral operators for $0 < p < 1$ , thereby extending earlier constructions for $1 \leq p \leq \infty$ .…

math.AP2025

$H^{1}$ and $bmo$ regularity for wave equations with rough coefficients

Naijia Liu, Jan Rozendaal, Liang Song

We consider second-order hyperbolic equations with rough time-independent coefficients. Our main result is that such equations are well posed on the Hardy spaces $\mathcal{H}^{s,1}…

Local smoothing for rough wave equations

Spherical maximal functions and Hardy spaces for Fourier integral operators

Function spaces for decoupling

Propagation of singularities for equations with Cr coefficients for r>1

The Hardy spaces HFIOp​(Rn) for Fourier integral operators for p<1

H1 and bmo regularity for wave equations with rough coefficients

Propagation of singularities for equations with $C^{r}$ coefficients for $r > 1$

The Hardy spaces $H_{F I O}^{p} (R^{n})$ for Fourier integral operators for $p < 1$

$H^{1}$ and $bmo$ regularity for wave equations with rough coefficients