In functional analysis, a branch of mathematics, a Beppo Levi space, named after Beppo Levi, is a certain space of generalized functions. In the following, D′ is the space of distributions, S′ is the space of tempered distributions in Rn, Dα the differentiation operator with α a multi-index, and is the Fourier transform of v. The Beppo Levi space is where |⋅|r,p denotes the Sobolev semi-norm. An alternative definition is as follows: let m ∈ N, s ∈ R such that and define: Then Xm,s is the Beppo-Levi space. (Wikipedia).
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From playlist Measure Theory
Measure Theory - Part 8 - Monotone convergence theorem (Proof and application) [dark version]
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From playlist Measure Theory [dark version]
Measure Theory - Part 7 - Monotone convergence theorem (and more) [dark version]
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From playlist Measure Theory [dark version]
Measure Theory - Part 7 - Monotone convergence theorem (and more)
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.
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