Hrittik Roy

activity

20232026

collaborators

Showing math.CAShow all

3 papers · 1 filter

math.CA2026

Nikodým maximal function with restricted directions

Tuomas Orponen, Hrit Roy

We study the planar Nikodým maximal operator $N_{Θ; δ}$ associated to a direction set $Θ \subset S^{1}$ . We show that the quasi-Assouad dimension $s := \dim_{\math…

math.CA2025

Uniform decoupling for convex curves

Hrit Roy

Using a high/low argument, we prove a universal $ℓ^{2} L^{6}$ decoupling estimate with constant $C_{ε} R^{ε}$ for general convex curves in the plane. These curves have no additional regul…

math.CA2024

Improved $L^{p}$ bounds for Bochner--Riesz operators associated with rough convex domains in the plane

Hrit Roy

We consider generalized Bochner-Riesz operators associated with planar convex domains. We construct domains which yield improved $L^{p}$ bounds for the Bochner-Riesz over previous re…

Nikodým maximal function with restricted directions

Uniform decoupling for convex curves

Improved Lp bounds for Bochner--Riesz operators associated with rough convex domains in the plane

Improved $L^{p}$ bounds for Bochner--Riesz operators associated with rough convex domains in the plane