Andreas Seeger

activity

20032026

collaborators

5 papers

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.CA2025

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.CA2023

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…

math.CA2019

Basis properties of the Haar system in limiting Besov spaces

Gustavo Garrigós, Andreas Seeger, Tino Ullrich

We study Schauder basis properties for the Haar system in Besov spaces $B_{p, q}^{s} (R^{d})$ . We give a complete description of the limiting cases, obtaining various positive r…

math.CA2003

Singular spherical maximal operators on a class of two step nilpotent Lie groups

Detlef Mueller, Andreas Seeger

Let $H^{n} ≅ R^{2 n} ⋉ R$ be the Heisenberg group and let $μ_{t}$ be the normalized surface measure for the sphere of radius $t$ in $R^{2 n}$ . Consider the maximal…