Da Lio-Rivière-Wettstein-type inequality for weighted Bergman spaces

Abstract

In this paper, inspired by the work of Da Lio-Rivière-Wettstein, we investigate the boundary-value characterizations of weighted Bergman spaces and establish a weighted Da Lio-Rivière-Wettstein inequality. In addition, we obtain analogous results on the upper plane which does not seem to be a direct consequence of the ones on the unit disk.

28 pages