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Type and Cotype with Respect to Arbitrary Orthonormal Systems

✍ Scribed by S. Geiss; M. Junge

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
994 KB
Volume
82
Category
Article
ISSN
0021-9045

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## 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__^