The Density Problem for Self–Commutators of Unbounded Bergman Operators |
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| Authors: | Sherwin Kouchekian James E. Thomson |
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| Affiliation: | (1) Department of Mathematics, University of South Alabama, Mobile, AL 36688, USA;(2) Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, USA |
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| Abstract: | We give two sufficient conditions for the self–commutator of an unbounded Bergman operator to be densely defined. In conjunction with known results this leads to a strong Berger–Shaw type theorem for unbounded Bergman operators. Finally we present results regarding the density problem for unbounded sets in the plane of infinite area. |
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| Keywords: | Primary 32A36 Secondary 47B38 31A15 |
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