Approximation and Extension of Functions of Vanishing Mean Oscillation

We consider various definitions of functions of vanishing mean oscillation on a domain Ω ⊂ R n . If the domain is uniform, we show that there is a single extension operator which extends functions in these spaces to functions in the corresponding spaces on R n , and also extends BMO ( Ω ) to BMO ( R...

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Veröffentlicht in:	The Journal of Geometric Analysis 2021-07, Vol.31 (7), p.6892-6921
Hauptverfasser:	Butaev, Almaz, Dafni, Galia
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Approximation Convex and Discrete Geometry Differential Geometry Domains Dynamical Systems and Ergodic Theory Elias M. Stein: In Memoriam Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Mathematical analysis Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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