Author

Bo Li

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Preprint Oct 2026

A geometry-independent endpoint estimate for the Littlewood--Paley $g$-function generated by the Poisson semigroup

We prove a weak $(1,1)$ estimate for the full Poisson Littlewood--Paley $g$-function on every complete Riemannian manifold without boundary, with an explicit universal constant approximately equal to $3.33606$. The estimate requires no curvature restriction, volume doubling, heat kernel bound, or stochastic completenes...

Bo Li, Ji Li, Jin-Xia Li · 0 citations

Preprint Sep 2026

Riesz transform on manifolds with mixed ends for $1

Let $M_1$, $\cdots$, $M_\ell$ be complete manifolds of the same dimension, where $2\le \ell\in\mathbb{N}$. Suppose that each $M_i$ satisfies two side Gaussian bounds. If some of these manifolds are parabolic and there exists a constant $1\le n_i\le 2$ such that for some $x_i\in M_i$ with $1 \le r \le R<\infty$, $$c_i\l...

Bo Li, Tian-Jun Shen, Zi-Han Wang · 0 citations