DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Choe, Boo-Rim | - |
dc.contributor.advisor | 최부림 | - |
dc.contributor.author | Lee, Young-Joo | - |
dc.contributor.author | 이영주 | - |
dc.date.accessioned | 2011-12-14T04:58:45Z | - |
dc.date.available | 2011-12-14T04:58:45Z | - |
dc.date.issued | 1991 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=67665&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42344 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 수학과, 1991.2, [ [ii], 21 p. ; ] | - |
dc.description.abstract | It has been recently proved by Sheldon Axler and Zeljko Cuckovic that on the Bergman space of the unit disc of the complex plane, two Toeplitz operator with harmonic symbols commute only in the obvious cases. In this thesis, we investigate the corresponding problem with pluriharmonic symbols on the higher dimensional situation. We first obtain a necessary condition and a sufficient condition for two commuting Toeplitz operators with pluriharmonic symbols on the Bergman space of the unit ball of higher dimensional complex space. As an application we show that if one of symbols in consideration is holomorphic or antiholomorphic, then so is the other. Our proof depends on a recent theorem of P. Ahern and W. Rudin concerning M-harmonic products. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.title | (A) study on commuting toeplitz operators with pluriharmonic symbols | - |
dc.title.alternative | Pluriharmonic 기호를 갖는 교환하는 toeplitz 연산자에 관한 연구 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 67665/325007 | - |
dc.description.department | 한국과학기술원 : 수학과, | - |
dc.identifier.uid | 000891372 | - |
dc.contributor.localauthor | Choe, Boo-Rim | - |
dc.contributor.localauthor | 최부림 | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.