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Variable exponent Hardy spaces associated with discrete Laplacians on graphs
- Source :
- Science China Mathematics. 62:73-124
- Publication Year :
- 2018
- Publisher :
- Springer Science and Business Media LLC, 2018.
-
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.
- Subjects :
- Mathematics::Functional Analysis
Pure mathematics
Variable exponent
General Mathematics
010102 general mathematics
Mathematics::Classical Analysis and ODEs
Mathematics::Spectral Theory
Hardy space
01 natural sciences
Square (algebra)
Functional Analysis (math.FA)
Mathematics - Functional Analysis
010101 applied mathematics
Riesz transform
symbols.namesake
Mathematics - Classical Analysis and ODEs
Classical Analysis and ODEs (math.CA)
FOS: Mathematics
symbols
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 18691862 and 16747283
- Volume :
- 62
- Database :
- OpenAIRE
- Journal :
- Science China Mathematics
- Accession number :
- edsair.doi.dedup.....62943af87728fc9d27079a398e92104f