Research Project
Grant-in-Aid for Young Scientists (Start-up)
In this research, we considered the Bergman space which consists of holomorphic functions on the unit ball and the weighted composition operator on these spaces. Our purposes are to estimate the essential norm for this type of operator and to characterize the compactness of it. In 2008 we had estimated the essential norm of the weighted composition operator on the Bergman space or the Hardy space. In 2009 we had estimate the essential norm of the composition operator on the Bergman space in terms of the condition on the angular derivative of φ at the boundary point. Also we characterized the compactness of the weighted composition operator from the Bergman space into the Hardy space and estimated the essential norm of it.
All 2010 2009 2008 Other
All Journal Article (16 results) (of which Peer Reviewed: 16 results) Presentation (10 results) Remarks (2 results)
Appl.Math.Comput. Vol. 215
Pages: 3526-3533
Appl.Math.Comput. 215
Acta Sci.Math.(Szeged) Vol. 75
Pages: 693-706
Arch.Math. Vol. 93
Pages: 461-473
Pages: 2464-2471
Discrete Dyn.Nat.Soc 2009
Discrete Dyn.Nat.Soc. 2009
Arch.Math. 93
Acta Sci.Math.(Szeged) 75
International Journal of Modern Mathematics Vol. 3
Pages: 231-243
Acta Sci.Math.(Szeged) Vol. 74
Pages: 829-843
Abstract and Applied Analysis Vol. 2008
Abstract and Applied Analysis 2008
Pages: 196498-12
Acta Scientiarum Mathematicarum (Szeged) 74
International Journal of Modern Mathematics 3(3)
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