Toeplitz Type Operators on Wavelet Subspaces
โ Scribed by Qingtang Jiang; Lizhong Peng
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 220 KB
- Volume
- 207
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let B m be the unit ball in the m-dimensional complex plane C m with the weighted measure From the viewpoint of the Cauchy-Riemann operator we give an orthogonal direct sum decomposition for L 2 B m dยต ฮฑ z , i.e., L 2 B m dยต ฮฑ z = โ nโZ + ฯโ A ฯ n , where the components A + + + 0 and A ---0 are jus
For an integer k โฅ 2, k th -order slant Toeplitz operator Uฯ [1] with symbol ฯ in L โ (T), where T is the unit circle in the complex plane, is an operator whose representing matrix M = (ฮฑij ) is given by ฮฑij = ฯ, z ki-j , where . , . is the usual inner product in L 2 (T). The operator Vฯ denotes the
In this paper we completely characterize the compact semi-commutator of two Toeplitz operators with bounded pluriharmonic symbols on the Bergman space of the polydisk. Several necessary and sufficient conditions are obtained for the commutator of two Toeplitz operators with bounded pluriharmonic sym
We prove a generalization of the Strong Szego Limit Theorem for Zoll type operators on smooth compact closed manifolds. More precisely, let X be a compact manifold, and let Q : C (X ) ร C (X) be a self-adjoint first order elliptic 9DO whose spectrum is [1, 2, 3, . . .]. Let A be a zeroth order 9DO o