2 papers
math.CV2026
Polynomial Null Solutions to Bosonic Laplacians, Bosonic Bergman and Hardy Spaces
Chao Ding, Phuoc-Tai Nguyen, John Ryan
A bosonic Laplacian, which is a generalization of Laplacian, is constructed as a second order conformally invariant differential operator acting on functions taking values in irred…
math.AP2024
Compactness of Green operators with applications to semilinear nonlocal elliptic equations
Phuoc-Truong Huynh, Phuoc-Tai Nguyen
In this paper, we consider a class of integro-differential operators posed on a bounded domain with appropriate homogeneous Dirichlet co…