On Hille-Tamarkin operators and Schatten classes |
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| Institution: | (1) Departmento de Matemáticas, Universidad Autónoma de Madrid, 28049, Madrid, Spain;(2) Departamento de Economia, Universidad Carlos III de Madrid, Calle Madrid 126, 28903 Getafe (Madrid), Spain;(3) Fachbereich Mathematik, Universit?t Leipzig, 7010 Leipzig, Germany |
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| Abstract: | We determine the smallest Schatten class containing all integral operators with kernels inL
p(Lp', q)symm, where 2 <p∞ and 1≦q≦∞. In particular, we give a negative answer to a problem posed by Arazy, Fisher, Janson and Peetre in 1].
Supported in part by DGICYT (SAB-90-0033). |
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