English

Littlewood-Paley-Stein operators on Damek-Ricci spaces

Analysis of PDEs 2020-09-02 v2

Abstract

We obtain pointwise upper bounds on the derivatives of the heat kernel on Damek-Ricci spaces. Applying these estimates we prove the LpL^p-boundedness of Littlewood-Paley-Stein operators.

Keywords

Cite

@article{arxiv.1706.09743,
  title  = {Littlewood-Paley-Stein operators on Damek-Ricci spaces},
  author = {Anestis Fotiadis and Effie Papageorgiou},
  journal= {arXiv preprint arXiv:1706.09743},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:1704.01359