Sobolev space

noun

A vector space of functions equipped with a norm that is a combination of Lp-norms of the function itself as well as its derivatives up to a given order.

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Meanings

nounSobolev space (plural Sobolev spaces)

plural Sobolev spaces

  1. mathematicsA vector space of functions equipped with a norm that is a combination of Lp-norms of the function itself as well as its derivatives up to a given order.

Origin

Named after the Russian mathematician Sergei Sobolev.

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Cite this entry
APA

Sobolev space. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Sobolev%20space

MLA

“Sobolev space.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Sobolev%20space. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Sobolev space,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Sobolev%20space.

Source: Sobolev space on Wiktionary, CC BY-SA 4.0.