View More View Less
  • 1 Bar-Ilan University Department of Mathematics and Computer Science 52900 Ramat-Gan Israel 52900 Ramat-Gan Israel
  • 2 University of Szeged Bolyai Institute Aradi vértanúk tere 1 6720 Szeged Hungary Aradi vértanúk tere 1 6720 Szeged Hungary
Restricted access

Abstract  

We consider Hausdorff operators generated by a function ϕ integrable in Lebesgue"s sense on either R or R2, and acting on the real Hardy space H1(R), or the product Hardy space H11(RR), or one of the hybrid Hardy spaces H10(R2) and H01(R2), respectively. We give a necessary and sufficient condition in terms of ϕ that the Hausdorff operator generated by it commutes with the corresponding Hilbert transform.

Monthly Content Usage

Abstract Views Full Text Views PDF Downloads
Nov 2020 0 0 0
Dec 2020 8 0 0
Jan 2021 1 0 0
Feb 2021 0 0 0
Mar 2021 0 0 0
Apr 2021 0 0 0
May 2021 0 0 0