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Template:Lp spaces - Revision history
2026-06-11T14:04:03Z
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2023-05-03T03:44:15Z
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Indicwiki
https://www.vigyanwiki.in/index.php?title=Template:Lp_spaces&diff=147803&oldid=prev
alpha>Indicwiki: Created page with "{{Navbox | name = Lp spaces | title = Lp spaces | state = {{{state|<noinclude>uncollapsed expanded</noinclude><includeonly>autocollapse</includeonly>}}} <!-- | state = {{{..."
2023-04-18T11:36:01Z
<p>Created page with "{{Navbox | name = Lp spaces | title = <a href="/index.php?title=Lp_space&action=edit&redlink=1" class="new" title="Lp space (page does not exist)">Lp spaces</a> | state = {{{state|<noinclude>uncollapsed expanded</noinclude><includeonly>autocollapse</includeonly>}}} <!-- | state = {{{..."</p>
<p><b>New page</b></p><div>{{Navbox<br />
| name = Lp spaces<br />
| title = [[Lp space]]s<br />
| state = {{{state|<noinclude>uncollapsed expanded</noinclude><includeonly>autocollapse</includeonly>}}}<br />
<!-- | state = {{{state|{{{1|}}}}}} --><br />
| image = <br />
| bodyclass = hlist<br />
| selected = {{{1}}}<br />
| above =<br />
<br />
| group1 = Basic concepts<br />
| list1 =<br />
* [[Banach space|Banach]]&nbsp;&amp;&nbsp;[[Hilbert space]]s<br />
* [[Lp space|''L''<sup>''p''</sup> spaces]]<br />
* [[Measure (mathematics)|Measure]]<br />
** [[Lebesgue measure|Lebesgue]]<br />
* [[Measure space]]<br />
* [[Measurable space]]/[[Measurable function|function]]<br />
* [[Minkowski distance]]<br />
* [[Sequence space]]s<br />
<br />
| group20 = [[L1 space|''L''<sup>1</sup> space]]s<br />
| list20 =<br />
* [[Integrable function]]<br />
* [[Lebesgue integration]]<br />
* [[Taxicab geometry]]<br />
<br />
| group30 = [[L2 space|''L''<sup>2</sup> space]]s<br />
| list30 =<br />
* [[Bessel's inequality|Bessel's]]<br />
* [[Cauchy–Schwarz inequality|Cauchy–Schwarz]]<br />
* [[Euclidean distance]]<br />
* [[Hilbert space]]<br />
* [[Parseval's identity]]<br />
* [[Polarization identity]]<br />
* [[Pythagorean theorem]]<br />
* [[Square-integrable function]]<br />
<br />
| group40 = [[L-infinity|<math>L^\infty</math> spaces]]<br />
| list40 =<br />
* [[Bounded function]]<br />
* [[Chebyshev distance]]<br />
* [[Infimum and supremum]]<br />
** [[Essential infimum and essential supremum|Essential]]<br />
* [[Uniform norm]]<br />
<br />
| group50 = Maps<br />
| list50 = <br />
* [[Almost everywhere]]<br />
* [[Convergence almost everywhere]]<br />
* [[Convergence in measure]]<br />
* [[Function space]]<br />
* [[Integral transform]]<br />
* [[Locally integrable function]]<br />
* [[Measurable function]]<br />
* [[Symmetric decreasing rearrangement]]<br />
<br />
| group60 = Inequalities<br />
| list60 = <br />
* [[Babenko–Beckner inequality|Babenko–Beckner]]<br />
* [[Chebyshev's inequality|Chebyshev's]]<br />
* [[Clarkson's inequalities|Clarkson's]]<br />
* [[Hausdorff–Young inequality|Hausdorff–Young]]<br />
* [[Hölder's inequality|Hölder's]]<br />
* [[Markov's inequality|Markov's]]<br />
* [[Minkowski inequality|Minkowski]]<br />
* [[Young's convolution inequality|Young's convolution]]<br />
<br />
| group80 = [[:Category:Theorems in analysis|Results]]<br />
| list80 = <br />
* [[Marcinkiewicz interpolation theorem]]<br />
* [[Plancherel theorem]]<br />
* [[Riemann–Lebesgue lemma|Riemann–Lebesgue]]<br />
* [[Riesz–Fischer theorem]]<br />
* [[Riesz–Thorin theorem]]<br />
{{Navbox|subgroup<br />
| group1 =<br />
| list1 =<br />
| group2 = {{small|For [[Lebesgue measure]]}}<br />
| list2 = <br />
* [[Isoperimetric inequality]]<br />
* [[Brunn–Minkowski theorem]]<br />
** [[Milman's reverse Brunn–Minkowski inequality|Milman's reverse]]<br />
* [[Minkowski–Steiner formula]]<br />
* [[Prékopa–Leindler inequality]]<br />
* [[Vitale's random Brunn–Minkowski inequality]]<br />
}}<br />
<br />
| group100 = Applications&nbsp;&amp;&nbsp;related<br />
| list100 = <br />
* [[Bochner space]]<br />
* [[Fourier analysis]]<br />
* [[Lorentz space]]<br />
* [[Probability theory]]<br />
* [[Quasinorm]]<br />
* [[Real analysis]]<br />
* [[Sobolev space]]<br />
* [[*-algebra|<nowiki>*</nowiki>-algebra]]<br />
** [[C*-algebra|C<nowiki>*</nowiki>-algebra]]<br />
** [[Von Neumann algebra|Von Neumann]]<br />
<br />
}}<noinclude><br />
{{Documentation<br />
| content =<br />
{{Collapsible option |statename=optional}}<br />
}}<br />
[[Category:Mathematics navigational boxes]]<br />
</noinclude></div>
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