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Variable exponent Hardy spaces associated with discrete Laplacians on graphs

Variable exponent Hardy spaces associated with discrete Laplacians on graphs
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摘要 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. 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.
作者 Víctor Almeida Jorge J.Betancor AlejANDro J.Castro Lourdes Rodríguez-Mesa
机构地区 Departamento de Análisis Matemático Department of Mathematics
出处 《Science China Mathematics》 SCIE CSCD 2019年第1期73-124,共52页 中国科学：数学（英文版）
基金 supported by Spanish Government Grant(Grant No. MTM2016-79436-P) supported by Nazarbayev University Social Policy Grant
关键词 GRAPHS discrete LAPLACIAN HARDY SPACES variable EXPONENT square functions spectral MULTIPLIERS graphs discrete Laplacian Hardy spaces variable exponent square functions spectral multipliers
分类号 O1 [理学—基础数学]
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Science China Mathematics
2019年 第1期

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