A Survey on Function Spaces of John–Nirenberg Type

Jin Tao, Dachun Yang and Wen Yuan
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Jin Tao: Laboratory of Mathematics and Complex Systems (Ministry of Education of China), School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
Dachun Yang: Laboratory of Mathematics and Complex Systems (Ministry of Education of China), School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
Wen Yuan: Laboratory of Mathematics and Complex Systems (Ministry of Education of China), School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

Mathematics, 2021, vol. 9, issue 18, 1-57

Abstract: In this systematic review, the authors give a survey on the recent developments of both the John–Nirenberg space J N p and the space BMO as well as their vanishing subspaces such as VMO, XMO, CMO, V J N p , and C J N p on R n or a given cube Q 0 ? R n with finite side length. In addition, some related open questions are also presented.

Keywords: Euclidean space; cube; congruent cube; BMO; JN p; (localized) John–Nirenberg–Campanato space; Riesz–Morrey space; vanishing John–Nirenberg space; duality; commutator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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