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
β¦ LIBER β¦
On some perturbation inequalities for operators
β Scribed by Rajendra Bhatia; Fuad Kittaneh
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 503 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
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## Abstract For 1 < __p__ < β, the almost surely finiteness of $ E \left(v ^{- {p^{\prime} \over p}} \vert {\cal F}\_{1} \right) $ is a necessary and sufficient condition in order to have almost surely convergence of the sequences {__E__(__f__|β±~__n__~)} with __f__ β __L__^__p__^(__v dP__). This co