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.
properties of Littlewood-Paley functions, Riesz transforms, and spectral multipliers for discrete Laplacians on variable exponent Hardy spaces.
| Original language | English |
|---|---|
| Number of pages | 52 |
| Journal | Science China Mathematics |
| DOIs | |
| Publication status | Accepted/In press - Nov 19 2017 |
Keywords
- 42B30
- 42B35
- 60J10
- discrete Laplacian
- graphs
- Hardy spaces
- spectral multipliers
- square functions
- variable exponent
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Almeida, V., Betancor, J. J., Castro Castilla, A. J., & Rodríguez-Mesa, L. (Accepted/In press). Variable exponent Hardy spaces associated with discrete Laplacians on graphs. Science China Mathematics. https://doi.org/10.1007/s11425-017-9200-2