Hardy space
space of holomorphic functions on the unit disk or upper half plane
| rdfs:label |
"Hardy space"@en
|
|
skos:alt |
"Hardy class"@en
|
| schema:description |
"space of holomorphic functions on the unit disk or upper half plane"@en
|
|
schema:date |
"2026-05-18T00:44:41+00:00"^^xsd:dateTime |
| schema:version | 2493460277 |
| wikibase:identifiers | 6 |
| wikibase:sitelinks | 13 |
| wikibase:statements | 14 |
| p:P10283 | wd:statement/Q1585233-F5CA3815-C5F1-433E-BDA4-DFC2A3CD406E |
| p:P138 | wd:statement/Q1585233-7f7f0056-41d6-b4d9-1238-00f60da124d2 |
| p:P1482 | wd:statement/Q1585233-c84b1970-451f-1467-3170-15ef00c0cbd8 |
| p:P2347 | wd:statement/Q1585233-F16AD511-3598-4C04-8587-A1C110B27F76 |
| p:P2534 | wd:statement/Q1585233-0900d4d8-46a6-91aa-5c66-d9f15715765d |
| p:P279 | wd:statement/Q1585233-b99d89cf-42d0-0453-b863-ecd9facb58bf |
| p:P2812 | wd:statement/Q1585233-b5083b06-4b32-7e9a-9e34-4550a30cd69a |
| p:P31 | wd:statement/Q1585233-7583aa2f-45fe-9730-d785-3b4f617b80c0 |
| p:P575 | wd:statement/Q1585233-bc5a319c-4f7d-6f08-afd0-81d37fc5bbdc |
| p:P61 | wd:statement/Q1585233-838df1dc-4632-1da1-60ac-feaab886a5b2 |
| p:P6104 | wd:statement/Q1585233-6D858449-08D6-4693-802F-ABCD5DC01AAA |
| p:P6366 | wd:statement/Q1585233-F7D45CF9-A965-4EDE-B47A-D250C46E50D2 |
| p:P646 | wd:statement/Q1585233-5B72B9BF-A634-4C02-BA81-075C76E28797 |
| p:P7554 | wd:statement/Q1585233-d427e20d-4a40-4df1-e70e-5ef36545239f |
|
p:direct- |
<http:/ |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C42178598" |
| wdt:P138 | G.H. Hardy |
| wdt:P1482 |
<https:/ |
| wdt:P2347 | "29714" |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi data-mjx-texclass="OP" mathvariant="normal">H</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msup><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mi>f</mi><mo stretchy="false">:</mo><mo fence="false" stretchy="false">{</mo><mi>z</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi>ℂ</mi></mrow><mo stretchy="false">:</mo><mo stretchy="false">|</mo><mi>z</mi><mo stretchy="false">|</mo><mo><</mo><mn>1</mn><mo fence="false" stretchy="false">}</mo><mo stretchy="false" accent="false">→</mo><mrow data-mjx-texclass="ORD"><mi>ℂ</mi></mrow><mo stretchy="false">:</mo><munder><mi>sup</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mo stretchy="false">∈</mo><mo stretchy="false">[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></munder><mrow data-mjx-texclass="ORD"><mroot><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi></mrow></mrow></mfrac></mrow><mstyle displaystyle="true"><mo>∮</mo></mstyle><mo stretchy="false">|</mo><mi>f</mi><mo stretchy="false">(</mo><mi>r</mi><mi>exp</mi><mo>⁡</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">i</mi></mrow><mi>θ</mi><mo stretchy="false">)</mo><msup><mo stretchy="false">|</mo><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msup><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>θ</mi></mrow><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></mroot></mrow><mo><</mo><mi mathvariant="normal">∞</mi><mo data-mjx-texclass="CLOSE">}</mo></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P279 | normed vector space |
| wdt:P2812 | "HardySpace" |
| wdt:P31 | mathematical concept |
| wdt:P575 | "1923-01-01T00:00:00+00:00"^^xsd:dateTime |
| wdt:P61 | Frigyes Riesz |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "42178598" |
| wdt:P646 | "/m/01tprt" |
| wdt:P7554 | "Hardy_classes" |
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