Hrittik Roy

activity

20242026

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math.CA2026

NikodÃ½m maximal function with restricted directions

Tuomas Orponen, Hrit Roy

We study the planar NikodÃ½m maximal operator $N_{I^; I^´}$ associated to a direction set $I^ \subset S^{1}$ . We show that the quasi-Assouad dimension $s := \dim_{\…

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 $C_{I^} µ R^{I^} µ$ for general convex curves in the plane. These curves have no additional reg…

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…

NikodÃ½m 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