Long Wei

collaborators

3 papers

math.FA2025

Almost everywhere convergence of Bochner-Riesz means for the Hermite type Laguerre expansions

Longben Wei, Zhiwen Duan

Consider the space $R_{+}^{d} = (0, \infty)^{d}$ equipped with Euclidean distance and the Lebesgue measure. For every $α = (α_{1}, ..., α_{d}) \in [- 1/2, \infty)^{d}$ , we consider the Hermite-L…

math.FA2025

Almost everywhere convergence of the convolution type Laguerre expansions

Longben Wei

For a fixed d-tuple $α = (α_{1}, ..., α_{d}) \in (- 1, \infty)^{d}$ , consider the product space $R_{+}^{d} := (0, \infty)^{d}$ equipped with Euclidean distance $\arrowvert \cdot \arrowvert$ and…

math.AP2018

Radial symmetry of positive entire solutions of a fourth order elliptic equation with a singular nonlinearity

Zongming Guo, Long Wei, Feng Zhou

The necessary and sufficient conditions for a regular positive entire solution $u$ of the biharmonic equation: \begin{equation} \label{0.1} -Δ^2 u=u^{-p} \;\; \mbox{in $\R^N \; (N…