## Abstract The purpose of this paper is to present characterizations of the inhomogeneous Hardy‐Bessel potential spaces __F^p^__~α~ (__K__) over the 2‐series field __K__ defined by Littlewood‐Paley type function, magnified image where Δ~0~(__x__) = 1(|x|≥1), = 0(other), Δ~__j__~(__x__) = 2^__j__^
On Hardy-Bessel potential spaces over the ring of integers in a local field
✍ Scribed by Jun Tateoka
- Book ID
- 112650890
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 402 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0133-3852
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let O O be the ring of integers in a local field K. We solve an open problem due Ž to M. H. Taibleson 1975, ''Math. Notes,'' Vol. 15, Princeton Univ. Press, Prince-. 1 Ž . ton, NJ : Suppose f g L O O . Does the Cesaro means of f converge to f almost `Ž p p . everywhere if K has characteristic zero?
Let O denote the ring of integers of a local field. In this note we prove an Ä 4 ϱ approximation theorem for the Riesz type kernels ␥ over O. The proof , , n ns1 Ž . y1 requires a sharp estimate of the Dirichlet kernel D x on P \_ O, which may also n have independent interest. As a consequence we so