Lixin Yan

activity

20242026

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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…

math.AP2024

Bochner-Riesz means for critical magnetic SchrÃ¶dinger operators in $R^{2}$

Changxing Miao, Lixin Yan, Junyong Zhang

We study $L^{p}$ -boundedness of the Bochner-Riesz means for critical magnetic SchrÃ¶dinger operators $L_{A}$ in $R^{2}$ , which involve the physcial Aharonov-Bo…

math.AP2024

Global-in-time maximal regularity for the Cauchy problem of the heat equation in BMO and applications

Xuan Thinh Duong, Ji Li, Liangchuan Wu +1

In this article, we establish global-in-time maximal regularity for the Cauchy problem of the classical heat equation $\partial_{t} u (x, t) - I^ u (x, t) = f (x, t)$ with $u (x, 0) = 0$ in a certa…

Herz versus Fefferman: Symmetric and asymmetric Bochner--Riesz theory

Bochner-Riesz means for critical magnetic SchrÃ¶dinger operators in R2

Global-in-time maximal regularity for the Cauchy problem of the heat equation in BMO and applications

Bochner-Riesz means for critical magnetic SchrÃ¶dinger operators in $R^{2}$