Back to Search
Start Over
On the maximal operators of Fejér means with respect to the character system of the group of 2-adic integers in hardy spaces.
- Source :
-
Mathematical Notes . Jul2015, Vol. 98 Issue 1/2, p68-77. 10p. - Publication Year :
- 2015
-
Abstract
- It was a question of Taibleson, open for a long time that the almost everywhere convergence of Fejér (or ( C, 1)) means of Fourier series of integrable functions with respect the character system of the group of 2-adic integers. This question was answered by Gá t in 1997. The aim of this paper is to investigate the maximal operator of the sup |σ|. Among other things, we prove that this operator is bounded from the Hardy space H to the Lebesgue space L if and only if 1/2 < p < ∞. The two-dimensional maximal operator is also discussed. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HARDY spaces
*INTEGERS
*ALGEBRA
*POLYNOMIALS
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 98
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 109092562
- Full Text :
- https://doi.org/10.1134/S0001434615070068