In the mathematical discipline known as
functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. Inner product space#Definition, inner product, Norm (mathematics)#Defini ...
, a Triebel–Lizorkin space is a generalization of many standard function spaces such as
''L''''p'' spaces and
Sobolev space
In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of ''Lp''-norms of the function together with its derivatives up to a given order. The derivatives are understood in a suitable weak sense t ...
s. It is named after (born February 7th 1936 in
Dessau
Dessau is a town and former municipality in Germany at the confluence of the rivers Mulde and Elbe, in the '' Bundesland'' (Federal State) of Saxony-Anhalt. Since 1 July 2007, it has been part of the newly created municipality of Dessau-Roßlau ...
) and .
External links
Homogeneity Property of Besov and Triebel-Lizorkin Spaces
References
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Functional analysis
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