The study of complex analysis and the geometry of pseudoconvex domains lies at the intersection of several mathematical disciplines, encompassing both pure theoretical developments and practical ...

We prove a localization principle of the Bergman kernel form and metric for C2 pseudoconvex domains in the complex projective space. An estimate of the Bergman distance is also given.

Let D = {p < 0} be a smooth domain of finite type in an almost complex manifold (M, J) of real dimension four. We assume that the defining function p is J-plurisubharmonic on a neighborhood of D̅. We ...