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A compactness criterion and application to the commutators associated with Schrödinger operators
Author(s) -
Li Pengtao,
Mo Yan,
Zhang Chuangyuan
Publication year - 2015
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201300286
Subject(s) - compact space , mathematics , operator (biology) , class (philosophy) , pure mathematics , schrödinger's cat , compact operator , mathematical analysis , algebra over a field , computer science , extension (predicate logic) , biochemistry , chemistry , repressor , artificial intelligence , transcription factor , gene , programming language
Let T be an integral operator. In this paper, we introduce a L p ‐compactness criterion of [ b , T ] , where b ∈ VMO . As an application, we apply this criterion to deal with L p ‐compactness of commutators associated to Schrödinger operators with potentials in the reverse Hölder's class.