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Toeplitz Operators on the Fock Space with Presymbols Discontinuous on a Thick Set

✍ Scribed by E. Ram Írez De Arellano; N. L. Vasilevski

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
550 KB
Volume
180
Category
Article
ISSN
0025-584X

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✦ Synopsis

Toeplitz operators with discontinuous presymbols on the Fock space are studied. These iresymbols can have two limit values at the points of some subset in Q: ", generally speaking of nonzero measure. Nevertheless the Toeplitz operator algebra still admits a commutative symbolic calculus. 1991 Mathematics Subject Classificniion. Primary 47 B 35; Secondary 47 D 25. Keywonis and phraaes. Fock space, Toeplitz operators, discontinuous symbols.

📜 SIMILAR VOLUMES

Generalized Hankel operators on the Fock
Generalized Hankel operators on the Fock space
✍ Georg Schneider; Kristan A. Schneider 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 171 KB

## Abstract In this paper we study generalized Hankel operators ofthe form : ℱ^2^(|__z__ |^2^) → __L__^2^(|__z__ |^2^). Here, (__f__):= (Id–P~__l__~ )($ \bar z $^k^__f__) and P__l__ is the projection onto __A__~__l__~ ^2^(ℂ, |__z__ |^2^):= cl(span{$ \bar z $^__m__^ __z^n^__ | __m__, __n__ ∈ __N__,