Variable exponent Hardy spaces associated with discrete Laplacians on graphs

Víctor Almeida; J. J. Betancor; Alejandro J. Castro Castilla; L. Rodríguez-Mesa

doi:10.1007/s11425-017-9200-2

Variable exponent Hardy spaces associated with discrete Laplacians on graphs

Víctor Almeida, J. J. Betancor, Alejandro J. Castro Castilla, L. Rodríguez-Mesa

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	73-124
Number of pages	52
Journal	Science China Mathematics
Volume	62
Issue number	1
DOIs	https://doi.org/10.1007/s11425-017-9200-2
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)

Access to Document

10.1007/s11425-017-9200-2

Fingerprint Dive into the research topics of 'Variable exponent Hardy spaces associated with discrete Laplacians on graphs'. Together they form a unique fingerprint.

Cite this

@article{f34740e477cc4b2b8c0216218505028f,

title = "Variable exponent Hardy spaces associated with discrete Laplacians on graphs",

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 = "42B30, 42B35, 60J10, discrete Laplacian, graphs, Hardy spaces, spectral multipliers, square functions, variable exponent",

author = "V{\'i}ctor Almeida and Betancor, {J. J.} and {Castro Castilla}, {Alejandro J.} and L. Rodr{\'i}guez-Mesa",

note = "Funding Information: Acknowledgements The first, second and fourth authors were partially supported by Spanish Government Grant (Grant No. MTM2016-79436-P). The third author was also supported by Nazarbayev University Social Policy Grant. The authors would strongly like to give thanks to Professor Dachun Yang for sending us his paper [64] (jointly with C. Zhuo and Y. Sawano). Also, the authors are grateful to the referees for the careful reading of the manuscript.",

year = "2017",

month = nov,

day = "19",

doi = "10.1007/s11425-017-9200-2",

language = "English",

volume = "62",

pages = "73--124",

journal = "Science China Mathematics",

issn = "1674-7283",

publisher = "Science in China Press",

number = "1",

}

TY - JOUR

T1 - Variable exponent Hardy spaces associated with discrete Laplacians on graphs

AU - Almeida, Víctor

AU - Betancor, J. J.

AU - Castro Castilla, Alejandro J.

AU - Rodríguez-Mesa, L.

N1 - Funding Information: Acknowledgements The first, second and fourth authors were partially supported by Spanish Government Grant (Grant No. MTM2016-79436-P). The third author was also supported by Nazarbayev University Social Policy Grant. The authors would strongly like to give thanks to Professor Dachun Yang for sending us his paper [64] (jointly with C. Zhuo and Y. Sawano). Also, the authors are grateful to the referees for the careful reading of the manuscript.

PY - 2017/11/19

Y1 - 2017/11/19

N2 - 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.

AB - 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.

KW - 42B30

KW - 42B35

KW - 60J10

KW - discrete Laplacian

KW - graphs

KW - Hardy spaces

KW - spectral multipliers

KW - square functions

KW - variable exponent

UR - http://www.scopus.com/inward/record.url?scp=85053401246&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85053401246&partnerID=8YFLogxK

U2 - 10.1007/s11425-017-9200-2

DO - 10.1007/s11425-017-9200-2

M3 - Article

AN - SCOPUS:85053401246

VL - 62

SP - 73

EP - 124

JO - Science China Mathematics

JF - Science China Mathematics

SN - 1674-7283

IS - 1

ER -