Special Session 97: 

Estimate for the weighted polyharmonic Bergman kernel and its application

Kiyoki Tanaka
Daido University
Japan
Co-Author(s):    
Abstract:
In this talk we discuss the weighted polyharmonic Bergman space on the unit ball. We give estimates for the weighted polyharmonic Bergman kernel. As its application, we give a characterization of positive bounded Toeplitz operators on the polyharmonic Bergman space and solve Gleason`s problem for the polyharmonic Bergman space.