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math.AP2026
Fefferman--Stein type inequalities via area and maximal functions for Schrödinger operators with applications
Ji Li, Wanjun Li, Liang Song +1
In this paper, we establish a Fefferman--Stein inequality in terms of area function and non-tangential maximal function associated with the Schrödinger operator $\mathcal{L} = -Δ+…
math.AP2026
BMO Classification for Two-Dimensional Dunkl Newton and Green Kernels
Ji Li, Lixin Yan, Huohao Zhang
Using Gaussian heat-kernel estimates, we classify planar Dunkl Newton kernels in weighted Euclidean BMO and obtain the corresponding local classification for unit-ball Green kernel…
math.AP2026
Herz versus Fefferman: Symmetric and asymmetric Bochner--Riesz theory
Peng Chen, Dangyang He, Adam Sikora +1
We study Bochner--Riesz summability for a one-dimensional model of noncompact manifolds with ends. Each end has an effective Euclidean dimension, and these dimensions may differ fr…