Littlewood-Paley functionals on graphs

Joseph Feneuil

Littlewood-Paley functionals on graphs

Functional Analysis 2015-06-10 v2

Authors: Joseph Feneuil

Abstract

Let $\Gamma$ be a graph equipped with a Markov operator $P$ . We introduce discrete fractional Littlewood-Paley square functionals and prove their $L^p$ -boundedness under various geometric assumptions on $\Gamma$ .

Keywords

operator theory and elliptic operators fourier multipliers lp spaces and inequalities

Cite

@article{arxiv.1404.1353,
  title  = {Littlewood-Paley functionals on graphs},
  author = {Joseph Feneuil},
  journal= {arXiv preprint arXiv:1404.1353},
  year   = {2015}
}

Comments

2nd version. 30 pages. Minor changes asking by the reviewer. In particular, a clarification on the proof of Proposition C.2. Appears in Mathematical News / Mathematische Nachrichten, Wiley-VCH Verlag, 2015, http://onlinelibrary.wiley.com/doi/10.1002/mana.201400119/abstract

Littlewood-Paley functionals on graphs

Abstract

Keywords

Cite

Comments

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