Fourier type 2 operators with respect to
β
Aicke Hinrichs; Mariusz Piotrowski
π
Article
π
2004
π
John Wiley and Sons
π
English
β 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 thatβ₯__T__$\hat f$β₯~2~ β€ __c__β₯__f__β₯~2~ holds for all __X__βvalued functions __f__ β __L__^__X__^