Triebel–Lizorkin space

In the mathematical discipline known as functional analysis, a Triebel–Lizorkin space is a generalization of many standard function spaces such as L^p spaces and Sobolev spaces. It is named after Hans Triebel [de; pt] (born February 7th 1936 in Dessau) and Petr Ivanovich Lizorkin [ru].

External links

Homogeneity Property of Besov and Triebel-Lizorkin Spaces

References

Peetre, Jaak (1975), "On spaces of Triebel–Lizorkin type", Arkiv för Matematik, 13 (1–2): 123–130, Bibcode:1975ArM....13..123P, doi:10.1007/BF02386201.
Kalton, N., Interpolation of Hardy-Sobolev-Besov-Triebel-Lizorkin Spaces and Applications to Problems in Partial Differential Equations (PDF)

Functional analysis (topics – glossary)

Spaces

Banach Besov Fréchet Hilbert Hölder Nuclear Orlicz Schwartz Sobolev Topological vector
Properties	Barrelled Complete Dual (Algebraic/Topological) Locally convex Reflexive Separable