BOUNDEDNESS OF FRACTIONAL INTEGRALS IN HARDY SPACES WITH NON-DOUBLING MEASURE—In Memory of Professor Sun Yongsheng  

作　　者：Wengu Chen Yixin Lai 

机构地区：[1]Institute of Applied Physics and Computational Mathematics, China [2]Qingdao University, China

出　　处：《Analysis in Theory and Applications》2006年第2期195-200,共6页分析理论与应用（英文刊）

摘　　要：Let μ be a Borel measure on R^d which may be non doubling. The only condition that μ must satisfy is μ（Q） ≤ col（Q）^n for any cube Q belong to R^d with sides parallel to the coordinate axes and for some fixed n with 0 〈 n ≤ d. The purpose of this paper is to obtain a boundedness property of fractional integrals in Hardy spaces H^1（μ）.Let μ be a Borel measure on R^d which may be non doubling. The only condition that μ must satisfy is μ（Q） ≤ col（Q）^n for any cube Q belong to R^d with sides parallel to the coordinate axes and for some fixed n with 0 〈 n ≤ d. The purpose of this paper is to obtain a boundedness property of fractional integrals in Hardy spaces H^1（μ）.

关 键 词：fractional integral Hardy space non-doubling measure 

分 类 号：O175.5[理学—数学]