Fourier multipliers of generalized Lipschitz spaces
โ Scribed by T.S Quek
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 324 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
It is shown that, for certain choices of the defining indices, the generalized LIPSCHITZ spaces on VILEWKIJ groups are incIudec1 in certain FIGA-TALAXAYCA spaces A,, and t h a t the FOURIER series of functions in the letter spaces converge uniformly. This result includes an extension of the classica
## Abstract Using Herz spaces, we obtain a sufficient condition for a bounded measurable function on โ^__n__^ to be a Fourier multiplier on __H^p^~ฮฑ~__ (โ^__n__^ ) for 0 < __p__ < 1 and โ__n__ < ฮฑ โค 0. Our result is sharp in a certain sense and generalizes a recent result obtained by Baernstein an
We present a discrete characterization of Besov and Triebel spaces which is used to determine various classes Fourier multipliers for these spaces. In particular, results of R. Johnson are recovered.