English

Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spaces

Classical Analysis and ODEs 2008-02-06 v1 Functional Analysis

Abstract

For a wide family of multivariate Hausdorff operators, a new stronger condition for the boundedness of an operator from this family on the real Hardy space H1H^1 by means of atomic decomposition.

Keywords

Cite

@article{arxiv.0802.0598,
  title  = {Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spaces},
  author = {Elijah Liflyand},
  journal= {arXiv preprint arXiv:0802.0598},
  year   = {2008}
}

Comments

5 pages