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BMO Functions on Compact Sets
Author(s) -
Korey Michael,
Tarkhanov Nikolai
Publication year - 1999
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.19991990105
Subject(s) - mathematics , closure (psychology) , open set , differential operator , set (abstract data type) , order (exchange) , compact space , space (punctuation) , pure mathematics , operator (biology) , differential (mechanical device) , mathematical analysis , discrete mathematics , computer science , biochemistry , chemistry , finance , repressor , economics , aerospace engineering , operating system , transcription factor , engineering , market economy , gene , programming language
Let P be an elliptic differential operator of order p with real analytic coefficients on in open set Q ⊂ ℝ n . Given a compact set K ⊂ Ω, we describe the closure in BMO( K ) of the space of mentions of Pf = 0 on neighborhoods of K .