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Sobolev space

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.

Noun

Sobolev space (plural Sobolev spaces)

  1. 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.

Forms of Sobolev space

pluralSobolev spaces

Origin of Sobolev space

Named after the Russian mathematician Sergei Sobolev.

Questions about Sobolev space

What does Sobolev space mean?
Sobolev space means 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.
What part of speech is Sobolev space?
Sobolev space is a noun.
What is the plural of Sobolev space?
The plural of Sobolev space is Sobolev spaces.

Words near Sobolev space in the dictionary

  1. sobol
  2. sobole
  3. soboles
  4. Soboleski
  5. Soboleskis
  6. Sobolev space
  7. Sobolev spaces
  8. sobolevite
  9. sobolevskite
  10. Sobolewski
  11. Sobolewskis

Source and license

Adapted from Wiktionary: Sobolev space (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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