학술저널
THE TOEPLITZ OPERATOR INDUCED BY AN R-LATTICE
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 25, No. 3
-
2012.08491 - 499 (9 pages)
- 4
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？令？r is boundedand T？？ ¹r is compact under some condition.
1. Introduction
2. The main theorems
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