A compactness criterion and application to the commutators associated with Schrödinger operators |
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| Authors: | Pengtao Li Yan Mo Chuangyuan Zhang |
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| Affiliation: | 1. College of Mathematics, Qingdao University, Qingdao, Shandong, China;2. Department of Mathematics, FST, University of Macau, Macau, China;3. Department of Mathematics, Shantou University, Shantou, Guangdong, China |
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| Abstract: | Let T be an integral operator. In this paper, we introduce a  ‐compactness criterion of  , where  . As an application, we apply this criterion to deal with  ‐compactness of commutators associated to Schrödinger operators with potentials in the reverse Hölder's class. |
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| Keywords: | Compactness commutator Schrö dinger operators VMO Primary: 42B20 Secondary: 47B47, 42B35 |
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