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초록
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.
키워드
weighted Bergman spaces; Toeplitz operators; r-lattice; Carleson measure.
- 제목
- THE TOEPLITZ OPERATOR INDUCED BY AN R-LATTICE
- 제목 (타언어)
- THE TOEPLITZ OPERATOR INDUCED BY AN R-LATTICE
- 저자
- 강시호
- 발행일
- 2012-08
- 저널명
- 충청수학회지
- 권
- 25
- 호
- 3
- 페이지
- 491 ~ 499