English

Variable exponent Hardy spaces associated with discrete Laplacians on graphs

Classical Analysis and ODEs 2023-10-26 v1 Functional Analysis

Abstract

In this paper we develop the theory of variable exponent Hardy spaces associated with discrete Laplacians on infinite graphs. Our Hardy spaces are defined by square integrals, atomic and molecular decompositions. Also we study boundedness properties of Littlewood-Paley functions, Riesz transforms, and spectral multipliers for discrete Laplacians on variable exponent Hardy spaces.

Keywords

Cite

@article{arxiv.1705.06512,
  title  = {Variable exponent Hardy spaces associated with discrete Laplacians on graphs},
  author = {Víctor Almeida and Jorge J. Betancor and Alejandro J. Castro and Lourdes Rodríguez-Mesa},
  journal= {arXiv preprint arXiv:1705.06512},
  year   = {2023}
}
R2 v1 2026-06-22T19:50:58.239Z