BMO space

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf function space
gptkbp:characterizedBy bounded mean oscillation
gptkbp:contains locally integrable functions
gptkbp:dualPolyhedron gptkb:Hardy_space_H^1
gptkbp:generalizes gptkb:L^∞_space
https://www.w3.org/2000/01/rdf-schema#label BMO space
gptkbp:importantFor gptkb:Calderón–Zygmund_theory
partial differential equations
singular integrals
gptkbp:introduced gptkb:Fritz_John
gptkb:Louis_Nirenberg
gptkbp:introducedIn 1961
gptkbp:notation gptkb:BMO(ℝ^n)
gptkbp:property gptkb:Hilbert_space
translation invariant
contains all bounded functions
contains unbounded functions
not a Banach lattice
gptkbp:relatedTo gptkb:John–Nirenberg_inequality
gptkbp:standsFor bounded mean oscillation space
gptkbp:usedIn harmonic analysis
gptkbp:bfsParent gptkb:Hardy_spaces
gptkbp:bfsLayer 6