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Singular and fractional integral operators on preduals of Campanato spaces with variable growth condition

Singular and fractional integral operators on preduals of Campanato spaces with variable growth condition
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摘要 We investigate the boundedness of singular and fractional integral operators on generalized Hardy spaces defined on spaces of homogeneous type, which are preduals of Campanato spaces with variable growth condition. To do this we introduce molecules with variable growth condition. Our results are new even for R^n case. We investigate the boundedness of singular and fractional integral operators on generalized Hardy spaces defined on spaces of homogeneous type, which are preduals of Campanato spaces with variable growth condition. To do this we introduce molecules with variable growth condition. Our results are new even for R^n case.
作者 NAKAI Eiichi
机构地区 Department of Mathematics
出处 《Science China Mathematics》 SCIE CSCD 2017年第11期2219-2240,共22页 中国科学：数学（英文版）
基金 supported by Grant-in-Aid for Scientific Research (B) (Grant No. 15H03621), Japan Society for the Promotion of Science
关键词 singular integral fractional integral Hardy space Campanato space variable exponent space of homogeneous type Campanato空间 生长条件 积分算子 分数 奇异 Hardy空间 齐型空间 有界性
分类号 O177 [理学—基础数学]
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Science China Mathematics
2017年 第11期

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