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Sharp estimates of the Fourier coefficients of summable functions and K-functionals

✍ Scribed by V. I. Ovchinnikov; V. D. Raspopova; V. A. Rodin


Publisher
SP MAIK Nauka/Interperiodica
Year
1982
Tongue
English
Weight
334 KB
Volume
32
Category
Article
ISSN
0001-4346

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On the Fourier-Coefficients of Vector-Va
✍ Hermann KΓΆnig πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 522 KB

We study the decay of the FOURIER-coefficients of vector-valued functions F :T --+ X, X a BANAFH space. Differentiable functions f generally have absolutely sumrnable FOURIER-coefficients, 1 Ilf(n)ll < 00, iff X is K-convex. More precise statements on the decay of Ilf(n)ll for regular functions fcan