English

Weighted inequlities for a generalized dyadic maximal operator involving the infinite product

Classical Analysis and ODEs 2014-04-29 v1

Abstract

We define a generalized dyadic maximal operator involving the infinite product and discuss weighted inequalities for the operator. A formulation of the Carleson embedding theorem is proved. Our results depend heavily on a generalized H\"{o}lder's inequalities.

Keywords

Cite

@article{arxiv.1404.6760,
  title  = {Weighted inequlities for a generalized dyadic maximal operator involving the infinite product},
  author = {Wei Chen and Ruijuan Chen and Chao Zhang},
  journal= {arXiv preprint arXiv:1404.6760},
  year   = {2014}
}

Comments

17pages. arXiv admin note: text overlap with arXiv:1401.1439