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On Ptak's Generalization of Hankel Operators

✍ Scribed by Carmen H. Mancera; Pedro J. Paul

Book ID
110323732
Publisher
Springer
Year
2001
Tongue
English
Weight
252 KB
Volume
51
Category
Article
ISSN
0011-4642

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

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## 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