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THE TOEPLITZ OPERATOR INDUCED BY AN R-LATTICETHE TOEPLITZ OPERATOR INDUCED BY AN R-LATTICE
- Other Titles
- THE TOEPLITZ OPERATOR INDUCED BY AN R-LATTICE
- Authors
- 강시호
- Issue Date
- Aug-2012
- Publisher
- 충청수학회
- Keywords
- weighted Bergman spaces; Toeplitz operators; r-lattice; Carleson measure.
- Citation
- 충청수학회지, v.25, no.3, pp 491 - 499
- Pages
- 9
- Journal Title
- 충청수학회지
- Volume
- 25
- Number
- 3
- Start Page
- 491
- End Page
- 499
- ISSN
- 1226-3524
2383-6245
- Abstract
- The hyperbolic metric is invariant under the action of MÄobius maps and unbounded. For 0 < r < 1, there is an r-lattice in the Bergman metric. Using this r-lattice, we get the measure ¹r and the Toeplitz operator T®¹r and we prove that T®¹r is bounded and T®¹r is compact under some condition.
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