MAXIMAL OPERATORS OF THE FEJÉR MEANS OF THE TWO DIMENSIONAL CHARACTER SYSTEM OF THE p-SERIES FIELD IN THE KACZMARZ REARRANGEMENT

@inproceedings{Goginava2009MAXIMALOO,
  title={MAXIMAL OPERATORS OF THE FEJÉR MEANS OF THE TWO DIMENSIONAL CHARACTER SYSTEM OF THE p-SERIES FIELD IN THE KACZMARZ REARRANGEMENT},
  author={Ushangi Goginava},
  year={2009}
}
The main aim of this paper is to prove that the maximal operator σ∗ of the Fejér means of the two dimensional character system of the p-series field in the Kaczmarz rearrangement is bounded from the Hardy space Hα to the space Lα for α > 1/2, provided that the supremum in the maximal operator is taken over a positive cone. We also prove that the maximal operator σ∗ 0 of Fejér means of the two dimensional character system of the p-series field in the Kaczmarz rearrangement is not bounded from… CONTINUE READING