Estimates of the Bergman distance on Dini-smooth bounded planar domains

Abstract

Precise estimates for the Bergman distances of Dini-smooth bounded planar domains are given. These estimates imply that on such domains the Bergman distance almost coincides with the Carathéodory and Kobayashi distances.

arXiv commentCollect. Math. (to appear)

Cited by in corpus (2)

• Boundary behavior of invariant functions on planar domains
• Hardy-Littlewood theorems and the Bergman distance