Sobolev space

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Sobolev space

Quality:

Sobolev space - Banach space of functions equipped with a norm that is a combination of Lᵖ-norms of the function itself and its weak derivatives up to a given order. Article “Sobolev space” in Simple English Wikipedia has 3.6 points for quality (as of July 1, 2025).

This article has the best quality in English Wikipedia. Also, this article is the most popular in that (Simple English) language version.

Since the creation of article “Sobolev space”, its content was written by 13 registered users of Simple English Wikipedia and edited by 466 registered Wikipedia users in all languages.

The article is cited 7 times in Simple English Wikipedia and cited 1234 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Simple English): #512 in March 2024
  • Global: #14688 in October 2004

The highest popularity rank from 2008:

  • Local (Simple English): #17853 in June 2025
  • Global: #103327 in October 2018

There are 20 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Sobolev space
37.389
2Norwegian (no)
Sobolev-rom
36.2199
3German (de)
Sobolev-Raum
29.8867
4French (fr)
Espace de Sobolev
27.7323
5Chinese (zh)
索伯列夫空间
26.3892
6Korean (ko)
소볼레프 공간
25.4145
7Italian (it)
Spazio di Sobolev
22.4712
8Ukrainian (uk)
Простір Соболєва
20.0572
9Vietnamese (vi)
Không gian Sobolev
19.8
10Russian (ru)
Пространство Соболева
18.5228
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Sobolev space" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Sobolev space
1 458 597
2German (de)
Sobolev-Raum
351 937
3French (fr)
Espace de Sobolev
315 147
4Russian (ru)
Пространство Соболева
143 920
5Italian (it)
Spazio di Sobolev
116 009
6Japanese (ja)
ソボレフ空間
112 306
7Spanish (es)
Espacio de Sóbolev
72 115
8Chinese (zh)
索伯列夫空间
60 143
9Polish (pl)
Przestrzeń Sobolewa
28 322
10Vietnamese (vi)
Không gian Sobolev
14 422
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Sobolev space" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Sobolev space
8 088
2German (de)
Sobolev-Raum
1 288
3French (fr)
Espace de Sobolev
1 217
4Japanese (ja)
ソボレフ空間
1 071
5Russian (ru)
Пространство Соболева
856
6Italian (it)
Spazio di Sobolev
510
7Simple English (simple)
Sobolev space
479
8Spanish (es)
Espacio de Sóbolev
397
9Chinese (zh)
索伯列夫空间
337
10Polish (pl)
Przestrzeń Sobolewa
129
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Sobolev space" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Sobolev space
129
2German (de)
Sobolev-Raum
75
3French (fr)
Espace de Sobolev
66
4Italian (it)
Spazio di Sobolev
42
5Japanese (ja)
ソボレフ空間
28
6Russian (ru)
Пространство Соболева
23
7Vietnamese (vi)
Không gian Sobolev
16
8Chinese (zh)
索伯列夫空间
15
9Simple English (simple)
Sobolev space
13
10Ukrainian (uk)
Простір Соболєва
12
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Sobolev space" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Sobolev space
2
2Catalan (ca)
Espai de Sóbolev
0
3Czech (cs)
Sobolevův prostor
0
4German (de)
Sobolev-Raum
0
5Spanish (es)
Espacio de Sóbolev
0
6Persian (fa)
فضای سوبولف
0
7French (fr)
Espace de Sobolev
0
8Italian (it)
Spazio di Sobolev
0
9Japanese (ja)
ソボレフ空間
0
10Korean (ko)
소볼레프 공간
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Sobolev space" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Sobolev space
645
2German (de)
Sobolev-Raum
102
3Chinese (zh)
索伯列夫空间
99
4French (fr)
Espace de Sobolev
68
5Japanese (ja)
ソボレフ空間
49
6Italian (it)
Spazio di Sobolev
42
7Ukrainian (uk)
Простір Соболєва
40
8Persian (fa)
فضای سوبولف
36
9Spanish (es)
Espacio de Sóbolev
34
10Polish (pl)
Przestrzeń Sobolewa
27
More...

Scores

Estimated value for Wikipedia:
Simple English:
Global:
Popularity in June 2025:
Simple English:
Global:
Popularity in all years:
Simple English:
Global:
Authors in June 2025:
Simple English:
Global:
Registered authors in all years:
Simple English:
Global:
Citations:
Simple English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Espai de Sóbolev
csCzech
Sobolevův prostor
deGerman
Sobolev-Raum
enEnglish
Sobolev space
esSpanish
Espacio de Sóbolev
faPersian
فضای سوبولف
frFrench
Espace de Sobolev
itItalian
Spazio di Sobolev
jaJapanese
ソボレフ空間
koKorean
소볼레프 공간
nlDutch
Sobolev-ruimte
noNorwegian
Sobolev-rom
plPolish
Przestrzeń Sobolewa
ptPortuguese
Espaços de Sobolev
ruRussian
Пространство Соболева
simpleSimple English
Sobolev space
slSlovenian
Prostor Soboljeva
ukUkrainian
Простір Соболєва
viVietnamese
Không gian Sobolev
zhChinese
索伯列夫空间

Popularity rank trends

Best Rank Simple English:
#17853
06.2025
Global:
#103327
10.2018

AI rank trends

Best Rank Simple English:
#512
03.2024
Global:
#14688
10.2004

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Sobolev space from Wikipedia articles about Hilbert space, Besov space, Sobolev inequality, Poincaré inequality and Weak derivative. Whereas reading the article about Sobolev space people most often go to Wikipedia articles on Weak derivative, Lp space, Sergei Sobolev, Banach space and Sobolev inequality.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information