On R-sectorial derivatives on Bergman spaces

Abstract

In this paper we show boundedness of vector-valued Bergman projections on simple connected domains. With this result we show R-sectoriality of the derivative on the Bergman space on C+ and maximal L-p-regularity for an integrodifferential equation with a kernel in the Bergman space.

Keywords

• R-sectorial
• derivatives
• Bergman
• spaces