On the Essential Commutant of Toeplitz Operators in Several Complex Variables |
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Authors: | Trieu Le |
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Affiliation: | (1) Department of Mathematics, University of Toronto, Toronto, Ontario, M5S 2E4, Canada |
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Abstract: | Using the joint local mean oscillation, Jingbo Xia [13] showed that the essential commutant of , where is the subalgebra of L ∞ generated by all functions which are bounded and have at most one discontinuity, is (QC). Even though Xia’s method cannot be used, we are able to generalize his result to Toeplitz operators in higher dimensions with a different approach. This result is stronger than the well-known result stating that the essential commutant of the full Toeplitz algebra is (QC). |
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Keywords: | Primary 47B35 |
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