| rdfs:label |
"Besov space"@en
|
| schema:description |
"generalization of Sobolev spaces"@en
|
|
schema:date |
"2025-01-07T01:38:15+00:00"^^xsd:dateTime |
| schema:version | 2295704956 |
| wikibase:identifiers | 3 |
| wikibase:sitelinks | 7 |
| wikibase:statements | 11 |
| p:P10283 | wd:statement/Q526261-94AE68F2-44FA-4601-905B-21AA64A1F277 |
| p:P138 | wd:statement/Q526261-47b5b8e7-4d76-5afb-e437-9eac06f23ef2 |
| p:P1482 | wd:statement/Q526261-bc097d61-4db9-c412-8b58-2a7243be21ce |
| p:P2534 | wd:statement/Q526261-ac5d3823-4e09-86c3-c947-b1aed4b64590 |
| p:P279 | wd:statement/Q526261-6e3df7a0-4874-292c-2200-9f972b25aa77 |
| p:P61 | wd:statement/Q526261-7c9ef66c-4177-e4ae-69a1-779537d36138 |
| p:P6104 | wd:statement/Q526261-92E8E6C5-C1A2-46DF-9A67-51A7FB5743A2 |
| p:P6366 | wd:statement/Q526261-A06867AD-E1BA-4B6D-B5A1-8AE874176735 |
| p:P646 | wd:statement/Q526261-6486BDD3-E13C-4A23-B7F8-8A477B8D9418 |
| p:P7235 | wd:statement/Q526261-0b4b94aa-43c4-4ae2-63bf-605af40eed97 |
| wd:statement/Q526261-71cb8d8f-425c-d555-4924-31b720a08137 | |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C129698243" |
| wdt:P138 | Oleg Besov |
| wdt:P1482 |
<https:/ |
| 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"><msubsup><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mo>,</mo><mi>q</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mi>α</mi></mrow></mrow></msubsup><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mi>f</mi><mo stretchy="false">∈</mo><msup><mi>W</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>,</mo><mi>p</mi></mrow></mrow></msup><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mo stretchy="false">)</mo><mo maxsize="2.470em" minsize="2.470em" stretchy="true" symmetric="true">|</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><munder><mi>sup</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">|</mo><mi>h</mi><mo stretchy="false">|</mo><mo><</mo><mi>t</mi></mrow></mrow></munder><mo stretchy="false">‖</mo><msup><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">+</mo><mn>2</mn><mi>h</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mn>2</mn><msup><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">+</mo><mi>h</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><msup><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo></mrow></mrow></msup><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><msub><mo stretchy="false">‖</mo><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mi>q</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>t</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></mfrac></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 | function space |
| wdt:P61 | Oleg Besov |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "129698243" |
| wdt:P646 | "/m/04g23nz" |
| wdt:P7235 | "<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"><msubsup><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mo>,</mo><mi>q</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">+</mo><mi>α</mi></mrow></mrow></msubsup><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| "<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>W</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>,</mo><mi>p</mi></mrow></mrow></msup><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
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