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Little Hankel operators on the half plane

✍ Scribed by Namita Das; Jonathan R. Partington

Publisher
SP Birkhäuser Verlag Basel
Year
1994
Tongue
English
Weight
731 KB
Volume
20
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES

Generalized Hankel operators on the Fock
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## 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__,

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We give a different proof of Power'.,; several variables generalization o[" the wellknown Kronecker's result on tinitc rank Hankel matrices. This also leads to ~,, formula for the rank of a small Hankel operator on polydisk in terms of a certain degree of its rational symbol. ~.

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✍ Georg Schneider; Kristan Schneider 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 178 KB

## Abstract In this paper we study boundedness of generalized Hankel operators of the form \documentclass{article}\usepackage{amssymb,mathrsfs}\begin{document}\pagestyle{empty}${\rm H}\_{{\overline{z}}^k}^l: {\mathscr F}^2\big (|z|^2\big )\rightarrow L^2\big (|z|^2\big )$\end{document} and thereby