Potential analysis for Bergman spaces

2008 Fiscal Year Self-evaluation Report

• Project/Area Number: 18540169
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Meijo University (2008-2009); Nagoya University (2006-2007)
• Principal Investigator: SUZUKI Noriaki Meijo University, 理工学部, 教授 (50154563)
• Project Period (FY): 2006 – 2009
• Keywords: ベルグマン空間 / 放物型作用素 / ポテンシャル論

Research Abstract

上半空間上の放物型作用素の作るベルグマン空間をポテンシャル論の手法で解析する.特にToeplitz作用素とCarleson埋め込みが有界作用素あるいはコンパクト作用素となるための特徴付けを行う.

Research Products

• [Journal Article] Compact Toeplitz operators on parabolic Bergman spaces (2008)
  • Author(s): M.Nishio, N.Suzuki, and M.Yamada
  • Journal Title: Hiroshima Math J.38 Pages: 177-192
• [Journal Article] Interpolating sequences of parabolic Bergman spaces (2008)
  • Author(s): M.Nishio, N.Suzuki, and M.Yamada
  • Journal Title: Potential analysis 28 Pages: 357-378
• [Journal Article] Parabplic dilations with application to Toeplitz operators on parabolic Bergmansapaces (2008)
  • Author(s): M.Nishio, N.Suzuki, and M.Yamada
  • Journal Title: Proceedings of 15th ICFIDCAA,OMUP Pages: 307-312
• [Journal Article] Toeplitz operators and Carleson measureson parabolic Bergman spaces (2007)
  • Author(s): M.Nishio, N.Suzuki, and M.Yamada
  • Journal Title: Hokkaido Math J.36 Pages: 363-583
• [Journal Article] Lp boundedness of Bergman projections for α-parabplic operators (2006)
  • Author(s): M.Nishio, K.Shimomura, and N.Suzuki
  • Journal Title: ASPM 44 Pages: 305-318