Andreas Seeger

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math.CA2026

Two weight estimates for difference quotients

Carlos Perez, Andreas Seeger, Brian Street +1

We prove local and global two weight estimates in which we bound difference quotients of a function in terms of certain weighted $L^{p}$ norms of its gradient.

math.CA2026

Failure of stability of a maximal operator bound for perturbed Nevo-Thangavelu means

Jaehyeon Ryu, Andreas Seeger

Let $G$ be a two-step nilpotent Lie group, identified via the exponential map with the Lie-algebra $g = g_{1} \oplus g_{2}$ , where $[\mathfrak g,\mathfrak g]\…

math.CA2024

Spherical maximal functions on two step nilpotent Lie groups

Jaehyeon Ryu, Andreas Seeger

Consider $R^{d} \times R^{m}$ with the group structure of a two-step nilpotent Lie group and natural parabolic dilations. The maximal function originally introduced by N…