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Various characterizations of product Hardy spaces associated to Schrdinger operators 被引量:3

Various characterizations of product Hardy spaces associated to Schrdinger operators
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摘要 For every i = 1, 2, we let Li =-?ni+ Vi be a Schr¨odinger operator on Rni in which Vi∈ L1loc(Rni)is a non-negative function on Rni. We obtain some characterizations for functions in the product Hardy space H1L1,L2(Rn1 × Rn2) associated to L1 and L2 by using different norms on distinct variables. For every i = 1, 2, we let Li =-?ni+ Vi be a Schr¨odinger operator on Rni in which Vi∈ L1loc(Rni)is a non-negative function on Rni. We obtain some characterizations for functions in the product Hardy space H1L1,L2(Rn1 × Rn2) associated to L1 and L2 by using different norms on distinct variables.
机构地区 College of Mathematics
出处 《Science China Mathematics》 SCIE CSCD 2015年第12期2549-2564,共16页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant Nos. 11471176 and 11326093) Natural Science Foundation of Shandong Province for Doctor (Grant No. BS2014SF002)
关键词 product Hardy space Schr¨odinger operator non-tangential maximal and quadratic function SEMIGROUP product atom Hardy空间 空间相关 产品 算子 特性 非负函数 VI
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