## Abstract The present research is devoted to some polyconvolutions generated by various integral transforms. For example, we study convolutions for the Hankel transform H__ฮฝ__ [__f__ ](__x__) with the following factorization properties: equation image Conditions for the existence of the constru
Hankel integral operators and isometric interpolants on the line
โ Scribed by Harry Dym; Israel Gohberg
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 711 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract In this paper we study generalized Hankel operators ofthe form : โฑ^2^(|__z__ |^2^) โ __L__^2^(|__z__ |^2^). Here, (__f__):= (IdโP~__l__~ )($ \bar z $^k^__f__) and P__l__ is the projection onto __A__~__l__~ ^2^(โ, |__z__ |^2^):= cl(span{$ \bar z $^__m__^ __z^n^__ | __m__, __n__ โ __N__,
Let B m be the unit ball in the m-dimensional complex plane C m with the weighted measure From the viewpoint of the Cauchy-Riemann operator we give an orthogonal direct sum decomposition for L 2 B m dยต ฮฑ z , i.e., L 2 B m dยต ฮฑ z = โ nโZ + ฯโ A ฯ n , where the components A + + + 0 and A ---0 are jus
A sufficient condition is found for the product of two Toeplitz operators on the Hardy space of the unit sphere to be a compact perturbation of a Toeplitz operator. The condition leads to a criterion for a Hankel operator to be compact. ## 1997 Academic Press The object of this present paper is to
## Abstract In this paper we study boundedness of generalized Hankel operators of the form \documentclass{article}\usepackage{amssymb,mathrsfs}\begin{document}\pagestyle{empty}${\rm H}\_{{\overline{z}}^k}^l: {\mathscr F}^2\big (|z|^2\big )\rightarrow L^2\big (|z|^2\big )$\end{document} and thereby