On Hardy and Bellman transforms of the Fourier coefficients of functions in symmetric spaces
β Scribed by O. Ya. Berchiyan
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1993
- Tongue
- English
- Weight
- 392 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We consider the Riemann means of single and multiple Fourier integrals of functions belonging to L 1 or the real Hardy spaces defined on IR n , where n β₯ 1 is an integer. We prove that the maximal Riemann operator is bounded both from H 1 (IR) into L 1 (IR) and from L 1 (IR) into weak -L 1 (IR). We
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
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