This HTML5 document contains 52 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
yago-reshttp://yago-knowledge.org/resource/
dbohttp://dbpedia.org/ontology/
foafhttp://xmlns.com/foaf/0.1/
n15https://global.dbpedia.org/id/
yagohttp://dbpedia.org/class/yago/
dbthttp://dbpedia.org/resource/Template:
rdfshttp://www.w3.org/2000/01/rdf-schema#
freebasehttp://rdf.freebase.com/ns/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
owlhttp://www.w3.org/2002/07/owl#
wikipedia-enhttp://en.wikipedia.org/wiki/
dbchttp://dbpedia.org/resource/Category:
provhttp://www.w3.org/ns/prov#
dbphttp://dbpedia.org/property/
xsdhhttp://www.w3.org/2001/XMLSchema#
wikidatahttp://www.wikidata.org/entity/
goldhttp://purl.org/linguistics/gold/
dbrhttp://dbpedia.org/resource/
dbpedia-jahttp://ja.dbpedia.org/resource/

Statements

Subject Item
dbr:Kato's_conjecture
rdf:type
dbo:Disease yago:MathematicalRelation113783581 yago:PsychologicalFeature100023100 yago:Relation100031921 yago:Concept105835747 yago:Speculation105891783 yago:Idea105833840 yago:Operator113786413 yago:Cognition100023271 yago:WikicatDifferentialOperators yago:Function113783816 yago:Hypothesis105888929 yago:Abstraction100002137 yago:Content105809192 yago:WikicatConjectures
rdfs:label
Kato's conjecture 加藤予想
rdfs:comment
加藤予想（かとうよそう、英: Kato's conjecture）は、楕円型作用素の平方根が解析的かを問う数学上の問題である。名称は提案者である数学者の加藤敏夫に因む。加藤予想は1953年に加藤によって提案された。Pascal Auscher、スティーヴ・ホーフマン、マイケル・レイシー、アラン・マッキントッシュとPhilippe Tchamitchianによって2001年に共同で解決されるまで、問題はほぼ半世紀の間未解決のままだった。 Kato's conjecture is a mathematical problem named after mathematician Tosio Kato, of the University of California, Berkeley. Kato initially posed the problem in 1953. Kato asked whether the square roots of certain elliptic operators, defined via functional calculus, are analytic. The full statement of the conjecture as given by Auscher et al. is: "the domain of the square root of a uniformly complex elliptic operator with bounded measurable coefficients in Rn is the Sobolev space H1(Rn) in any dimension with the estimate ".
dcterms:subject
dbc:Differential_operators dbc:Operator_theory dbc:Conjectures_that_have_been_proved
dbo:wikiPageID
3543381
dbo:wikiPageRevisionID
1122614282
dbo:wikiPageWikiLink
dbr:University_of_California,_Berkeley dbc:Conjectures_that_have_been_proved dbr:Mathematical_problem dbr:Alan_Gaius_Ramsay_McIntosh dbr:Michael_Lacey_(mathematician) dbc:Differential_operators dbr:Functional_calculus dbc:Operator_theory dbr:Steve_Hofmann dbr:Mathematician dbr:Tosio_Kato dbr:Elliptic_operator dbr:Philippe_Tchamitchian dbr:Pascal_Auscher dbr:Analytic_function
owl:sameAs
wikidata:Q6377720 n15:4p8dF freebase:m.09kk9c yago-res:Kato's_conjecture dbpedia-ja:加藤予想
dbp:wikiPageUsesTemplate
dbt:Mathanalysis-stub dbt:Reflist
dbo:abstract
Kato's conjecture is a mathematical problem named after mathematician Tosio Kato, of the University of California, Berkeley. Kato initially posed the problem in 1953. Kato asked whether the square roots of certain elliptic operators, defined via functional calculus, are analytic. The full statement of the conjecture as given by Auscher et al. is: "the domain of the square root of a uniformly complex elliptic operator with bounded measurable coefficients in Rn is the Sobolev space H1(Rn) in any dimension with the estimate ". The problem remained unresolved for nearly a half-century, until in 2001 it was jointly solved in the affirmative by Pascal Auscher, Steve Hofmann, Michael Lacey, Alan McIntosh, and . 加藤予想（かとうよそう、英: Kato's conjecture）は、楕円型作用素の平方根が解析的かを問う数学上の問題である。名称は提案者である数学者の加藤敏夫に因む。加藤予想は1953年に加藤によって提案された。Pascal Auscher、スティーヴ・ホーフマン、マイケル・レイシー、アラン・マッキントッシュとPhilippe Tchamitchianによって2001年に共同で解決されるまで、問題はほぼ半世紀の間未解決のままだった。
gold:hypernym
dbr:Problem
prov:wasDerivedFrom
wikipedia-en:Kato's_conjecture?oldid=1122614282&ns=0
dbo:wikiPageLength
1911
foaf:isPrimaryTopicOf
wikipedia-en:Kato's_conjecture