Schatten-Norm Identities for Hankel Operators
✍ Scribed by S. Janson; H. Upmeier; R. Wallsten
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 217 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0022-1236
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📜 SIMILAR VOLUMES
## Abstract We determine bounds for the spectral and 𝓁~__p__~ norm of Cauchy–Hankel matrices of the form __H__~__n__~=[1/(__g__+__h__(__i__+__j__))]^__n__^~__i,j__=1~≡ ([1/(__g__+__kh__)]^__n__^~__i,j__=1~), __k__=0, 1,…, __n__ –1, where __k__ is defined by __i__+__j__=__k__ (mod __n__). Copyright
## Abstract In this paper we investigate Hankel operators with anti‐holomorphic __L__^2^‐symbols on generalized Fock spaces __A__~__m__~^2^ in one complex dimension. The investigation of the mentioned operators was started in [4] and [3]. Here, we show that a Hankel operator with anti‐holomorphic
If r is a nonzero constant, then HS r is just a well-known class of weights due to H. Helson and G. Szego (Ann. Mat. Pura Appl. 51 (1960), 107 138). Moreover we study the Koosis-type problem of two weights of S :, ; and get very simple necessary and sufficient conditions for such weights. 1997 Acad