Marcinkiewicz-( heta)-Summability of Fourier Transforms
β Scribed by Ferenc Weisz
- Book ID
- 110340185
- Publisher
- Akadmiai Kiad
- Year
- 2002
- Tongue
- English
- Weight
- 267 KB
- Volume
- 96
- Category
- Article
- ISSN
- 1588-2632
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π SIMILAR VOLUMES
## Abstract A general summability method is considered for functions from Herz spaces __K__^Ξ±^~__p,r__~ (β^__d__^ ). The boundedness of the HardyβLittlewood maximal operator on Herz spaces is proved in some critical cases. This implies that the maximal operator of the __ΞΈ__ βmeans __Ο__^__ΞΈ__^ ~__
In this paper we intend to prove weak type estimates for maximal functions related to a.e. summability of FOURIER integrals in the spaces Ifp( R N ) where O -= p ~l and N>1. ## Let ( 1 ) &!?(z)=(2n)-" f (1-(& -lyIJ2): $f(y) eiz%zg, &>O , RN be the MARCINKIEWICZ-RIESZ means of order 6zO of the fun