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- W2023657608 abstract "Let H be a separable Hilbert space and K be the ideal of compact operators on H . A T ∈ K is said to be in L (1, ∞) if λ n ( T ) = O (log n ) for n ≥ 2 or, equivalently, sup N ≥ 2 (1/log N )∑ N 1 λ n ( T ) < ∞, where λ n ( T ) are the singular values (eigenvalues of | T | = ( T * T ) 1/2 ). In this paper, we will give geometric conditions on several classes of operators, including Hankel and composition operators, belonging to L (1, ∞) . Specifically, we will show that the function space characterizing the symbols of these operators is a nonseparable Banach space which lies strictly between B 1 ( D ) and all the other holomorphic Besov spaces B p ( D ) ( p > 1)." @default.
- W2023657608 created "2016-06-24" @default.
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- W2023657608 date "2002-04-01" @default.
- W2023657608 modified "2023-09-29" @default.
- W2023657608 title "Operators on Spaces of Analytic Functions Belonging to L(1,∞)" @default.
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- W2023657608 doi "https://doi.org/10.1006/jmaa.2000.7418" @default.
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