Necessary and sufficient conditions are obtained for the boundedness of Berezin transformation on Lebesgue space Lp(B,dVβ) in the real unit ball B in Rn. As an application, we prove that Gleason type problem is solva...Necessary and sufficient conditions are obtained for the boundedness of Berezin transformation on Lebesgue space Lp(B,dVβ) in the real unit ball B in Rn. As an application, we prove that Gleason type problem is solvable in hyperbolic harmonic Bergman spaces. Furthermore we investigate the boundary behavior of the solutions of Gleason type problem.展开更多
基金supported by the National Natural Science Fountation of China(Grant No.10001030)the Post-doctoral Fellowship of University of Aveiro,UI&D"Matematica e Aplicacoes".
文摘Necessary and sufficient conditions are obtained for the boundedness of Berezin transformation on Lebesgue space Lp(B,dVβ) in the real unit ball B in Rn. As an application, we prove that Gleason type problem is solvable in hyperbolic harmonic Bergman spaces. Furthermore we investigate the boundary behavior of the solutions of Gleason type problem.
