BMO(ℝ^n)

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf function space
gptkbp:abbreviation bounded mean oscillation
gptkbp:characterizedBy bounded mean oscillation
gptkbp:contains locally integrable functions
unbounded functions
gptkbp:definedIn ℝ^n
gptkbp:dualPolyhedron gptkb:Hardy_space_H^1(ℝ^n)
gptkbp:hasSubgroup locally integrable functions on ℝ^n
https://www.w3.org/2000/01/rdf-schema#label BMO(ℝ^n)
gptkbp:importantFor gptkb:Calderón–Zygmund_theory
singular integrals
gptkbp:introduced gptkb:Fritz_John
gptkb:Louis_Nirenberg
gptkbp:introducedIn 1961
gptkbp:normDefinedBy supremum of mean oscillation over balls
gptkbp:notSubsetOf gptkb:L^∞(ℝ^n)
gptkbp:relatedTo gptkb:L^∞(ℝ^n)
gptkb:Hardy_space
gptkbp:standsFor bounded mean oscillation on ℝ^n
gptkbp:usedIn harmonic analysis
partial differential equations
gptkbp:bfsParent gptkb:BMO_space
gptkbp:bfsLayer 7