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Triebel–Lizorkin space

From Wikipedia, the free encyclopedia

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

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References

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  • 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)