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Duality of Fourier type with respect to locally compact Abelian groups

✍ Scribed by Aicke Hinrichs; Hun Hee Lee


Book ID
107528932
Publisher
The Hebrew University Magnes Press
Year
2007
Tongue
English
Weight
145 KB
Volume
157
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES


Fourier type 2 operators with respect to
✍ Aicke Hinrichs; Mariusz Piotrowski πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 121 KB

## Abstract A linear and bounded operator __T__ between Banach spaces __X__ and __Y__ has Fourier type 2 with respect to a locally compact abelian group __G__ if there exists a constant __c__ > 0 such thatβˆ₯__T__$\hat f$βˆ₯~2~ ≀ __c__βˆ₯__f__βˆ₯~2~ holds for all __X__‐valued functions __f__ ∈ __L__^__X__^