Real Variable Things in Bergman Theory
Real Variable Things in Bergman Theory
In this article, we investigate the connection between certain real variable things and the Bergman theory. We first use Hardy-type inequalities to give an $L^2$ Hartogs-type extension theorem and an $L^p$ integrability theorem for the Bergman kernel $K_\Omega(\cdot,w)$. We then use the Sobolev-Morrey inequality to show the absolute continuity of …