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On unbounded Bergman operators |
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| Authors: | John B Conway Kyung Hee Jin Sherwin Kouchekian |
| Institution: | a Mathematics, University of Tennessee, Knoxville, TN 37996-1300, USA b Mathematics, Kangwon National University, Chunchon 200, Republic of Korea c Department of Mathematics, Virginia Tech University, Blacksburg, VA, USA |
| Abstract: | This paper explores properties of the Bergman operator on unbounded open subsets of the plane. In addition to the characterization of the bounded commutant of such operators it proves the Berger-Shaw theorem and gives some general criteria under which the operator and its self-commutator are densely defined. |
| Keywords: | Bergman operator Subnormal operator Berger-Shaw theorem |
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