Hardy–Littlewood maximal function

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Hardy–Littlewood maximal function

Quality:

Hardy–Littlewood maximal function - Mathematical operator in real and harmonic analysis. Article “Hardy–Littlewood maximal function” in English Wikipedia has 17.1 points for quality (as of July 1, 2025). The article contains 3 references and 7 sections.

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

In June 2025 the article “Hardy–Littlewood maximal function” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Hardy–Littlewood maximal function”, its content was written by 31 registered users of English Wikipedia and edited by 62 registered Wikipedia users in all languages.

The article is cited 35 times in English Wikipedia and cited 63 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #106261 in February 2025
  • Global: #73769 in October 2024

The highest popularity rank from 2008:

  • Local (English): #536384 in November 2010
  • Global: #829667 in November 2010

There are 6 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)
Hardy–Littlewood maximal function
17.1202
2Ukrainian (uk)
Максимальна функція Гарді — Літлвуда
14.3888
3Chinese (zh)
哈代-李特爾伍德極大函數
13.1428
4French (fr)
Fonction maximale de Hardy-Littlewood
12.2249
5Japanese (ja)
ハーディ=リトルウッドの極大函数
7.5714
6German (de)
Hardy-Littlewood-Maximalfunktion
5.7173
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 "Hardy–Littlewood maximal function" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hardy–Littlewood maximal function
187 505
2French (fr)
Fonction maximale de Hardy-Littlewood
18 198
3Chinese (zh)
哈代-李特爾伍德極大函數
5 599
4Japanese (ja)
ハーディ=リトルウッドの極大函数
5 310
5German (de)
Hardy-Littlewood-Maximalfunktion
220
6Ukrainian (uk)
Максимальна функція Гарді — Літлвуда
196
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 "Hardy–Littlewood maximal function" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Hardy–Littlewood maximal function
1 279
2Japanese (ja)
ハーディ=リトルウッドの極大函数
91
3French (fr)
Fonction maximale de Hardy-Littlewood
52
4Chinese (zh)
哈代-李特爾伍德極大函數
41
5German (de)
Hardy-Littlewood-Maximalfunktion
21
6Ukrainian (uk)
Максимальна функція Гарді — Літлвуда
8
More...

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

The highest AI

Language versions of the article "Hardy–Littlewood maximal function" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hardy–Littlewood maximal function
31
2French (fr)
Fonction maximale de Hardy-Littlewood
13
3German (de)
Hardy-Littlewood-Maximalfunktion
7
4Japanese (ja)
ハーディ=リトルウッドの極大函数
4
5Chinese (zh)
哈代-李特爾伍德極大函數
4
6Ukrainian (uk)
Максимальна функція Гарді — Літлвуда
3
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 "Hardy–Littlewood maximal function" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Hardy–Littlewood maximal function
1
2German (de)
Hardy-Littlewood-Maximalfunktion
0
3French (fr)
Fonction maximale de Hardy-Littlewood
0
4Japanese (ja)
ハーディ=リトルウッドの極大函数
0
5Ukrainian (uk)
Максимальна функція Гарді — Літлвуда
0
6Chinese (zh)
哈代-李特爾伍德極大函數
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 "Hardy–Littlewood maximal function" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Hardy–Littlewood maximal function
35
2Japanese (ja)
ハーディ=リトルウッドの極大函数
11
3French (fr)
Fonction maximale de Hardy-Littlewood
10
4German (de)
Hardy-Littlewood-Maximalfunktion
3
5Chinese (zh)
哈代-李特爾伍德極大函數
3
6Ukrainian (uk)
Максимальна функція Гарді — Літлвуда
1
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
deGerman
Hardy-Littlewood-Maximalfunktion
enEnglish
Hardy–Littlewood maximal function
frFrench
Fonction maximale de Hardy-Littlewood
jaJapanese
ハーディ=リトルウッドの極大函数
ukUkrainian
Максимальна функція Гарді — Літлвуда
zhChinese
哈代-李特爾伍德極大函數

Popularity rank trends

Best Rank English:
#536384
11.2010
Global:
#829667
11.2010

AI rank trends

Best Rank English:
#106261
02.2025
Global:
#73769
10.2024

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Hardy–Littlewood maximal function from Wikipedia articles about Lebesgue differentiation theorem, Rising sun lemma, Vitali covering lemma, Maximal function and List of inequalities. Whereas reading the article about Hardy–Littlewood maximal function people most often go to Wikipedia articles on Rising sun lemma, Lebesgue differentiation theorem, Vitali covering lemma, Marcinkiewicz interpolation theorem and Rademachers theorem.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 28 February 2026

On 28 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Ali Khamenei, Iran, Ruhollah Khomeini, Jeffrey Epstein, Supreme Leader of Iran, Mohammad Reza I of Iran, 2026 Israeli–United States strikes on Iran, Neil Sedaka, Masoud Pezeshkian, Resident Evil Requiem.

In English Wikipedia the most popular articles on that day were: Ali Khamenei, 2026 Israeli–United States strikes on Iran, Neil Sedaka, Iran, Ruhollah Khomeini, Iran–Israel conflict, Supreme Leader of Iran, Scream 7, Elimination Chamber (2026), World War III.

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