Sobolev space

Summary

Sobolev space is a mathematical concept^[1]. It ranks in the top 5% of mathematical_concept entities by monthly Wikipedia readership (489 views/month).^[2]

Key Facts

• Sobolev space is credited with the discovery of Sergei Sobolev^[3].
• Sobolev space's instance of is recorded as mathematical concept^[4].
• Sergei Sobolev is named after Sobolev space^[5].
• Sobolev space's subclass of is recorded as Banach space^[6].
• Sobolev space's subclass of is recorded as Besov space^[7].
• Sobolev space's subclass of is recorded as Triebel–Lizorkin space^[8].
• Sobolev space's BNCF Thesaurus ID is recorded as 25209^[9].
• Sobolev space's time of discovery or invention is recorded as +1938-00-00T00:00:00Z^[10].
• Sobolev space's Freebase ID is recorded as /m/02wg2m^[11].
• Sobolev space's NL CR AUT ID is recorded as ph118093^[12].
• Sobolev space's topic's main category is recorded as Category:Sobolev spaces^[13].
• Sobolev space's Stack Exchange tag is recorded as https://mathoverflow.net/tags/sobolev-spaces^[14].
• Sobolev space's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/sobolev-spaces^[15].
• Sobolev space's defining formula is recorded as \operatorname W^{s,p}(M)= \left{f \in\operatorname L^p(M)\colon\sum_{\mu_1,\dots,\mu_k} T^{\mu_1,\dots,\mu_k}\partial_{\mu_1}\cdots\partial_{\mu_k}f\in\operatorname L^p(M;\mathbb K)\qquad\forall T\in\Gamma^\infty(\mathrm TM^{\otimes k}),\,|T|\le1,\,k\le s\right}^[16].
• Sobolev space's MathWorld ID is recorded as SobolevSpace^[17].
• Sobolev space's JSTOR topic ID is recorded as sobolev-spaces^[18].
• Sobolev space's nLab ID is recorded as Sobolev space^[19].
• Sobolev space's schematic is recorded as Sobolev embedding theorem.svg^[20].
• Sobolev space's maintained by WikiProject is recorded as WikiProject Mathematics^[21].
• Sobolev space's Microsoft Academic ID is recorded as 99730327^[22].
• Sobolev space's ProofWiki ID is recorded as Definition:Sobolev_Space^[23].
• Sobolev space's Encyclopedia of Mathematics article ID is recorded as Sobolev_space^[24].
• Sobolev space's PlanetMath ID is recorded as SobolevSpace^[25].
• Sobolev space's Treccani's Enciclopedia della Matematica ID is recorded as spazi-di-sobolev^[26].
• Sobolev space's OpenAlex ID is recorded as C99730327^[27].

Body

Works and Contributions

Sobolev space is credited with the discovery of Sergei Sobolev^[3].

Why It Matters

Sobolev space ranks in the top 5% of mathematical_concept entities by monthly Wikipedia readership (489 views/month).^[2] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.^[28] It is known by 7 alternative names across languages and contexts.^[29]