Xiang Fang

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math.CV2026

Sharp Gaussian Mixed-Norm Theory for Fock Spaces

Xiang Fang, Pham Trong Tien

We develop a structural theory of the Gaussian mixed-norm Fock spaces $F_{α}^{p, q}$ , where $α > 0$ and $0 < p, q \leq \infty$ , which separate angular $L^{p}$ -means from radial Gaussi…

math.CV2026

Sampling and Interpolation in Gaussian Mixed-Norm Fock Spaces

Xiang Fang, Pham Trong Tien

We establish sharp sampling and interpolation criteria for the radial--angular Gaussian mixed-norm Fock spaces $F_{α}^{p, q}$ , where $α > 0$ and $0 < p, q \leq \infty$ . The natural p…