Matches in SemOpenAlex for { <https://semopenalex.org/work/W3191030349> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W3191030349 endingPage "2161" @default.
- W3191030349 startingPage "2151" @default.
- W3191030349 abstract "We show that if an Ahlfors–David regular set E $E$ of dimension k $k$ has Big Pieces of Big Pieces of Lipschitz Graphs (denoted usually by BP ( BP ( LG ) ) $mathop mathrm{BP}(mathop mathrm{BP}(mathop mathrm{LG}))$ ), then E ⊂ E ∼ $Esubset tilde{E}$ where E ∼ $tilde{E}$ is Ahlfors–David regular of dimension k $k$ and has Big Pieces of Lipschitz Graphs (denoted usually by BP ( LG ) ) $mathop mathrm{BP}(mathop mathrm{LG}))$ . Our results are quantitative and, in fact, are proven in the setting of a metric space for any family of Ahlfors–David regular sets F ${mathcal {F}}$ replacing LG $mathop mathrm{LG}$ . A simple corollary is the stability of the BP operator after two iterations. This was previously only known in the Euclidean setting for the case F = LG ${mathcal {F}}= mathop mathrm{LG}$ with substantially more complicated proofs." @default.
- W3191030349 created "2021-08-16" @default.
- W3191030349 creator A5010945693 @default.
- W3191030349 creator A5014202794 @default.
- W3191030349 date "2022-05-26" @default.
- W3191030349 modified "2023-10-16" @default.
- W3191030349 title "Iterating the Big‐Pieces operator and larger sets" @default.
- W3191030349 cites W1580461919 @default.
- W3191030349 cites W180116548 @default.
- W3191030349 cites W2963812957 @default.
- W3191030349 cites W4213166429 @default.
- W3191030349 doi "https://doi.org/10.1112/blms.12683" @default.
- W3191030349 hasPublicationYear "2022" @default.
- W3191030349 type Work @default.
- W3191030349 sameAs 3191030349 @default.
- W3191030349 citedByCount "0" @default.
- W3191030349 crossrefType "journal-article" @default.
- W3191030349 hasAuthorship W3191030349A5010945693 @default.
- W3191030349 hasAuthorship W3191030349A5014202794 @default.
- W3191030349 hasBestOaLocation W31910303492 @default.
- W3191030349 hasConcept C104317684 @default.
- W3191030349 hasConcept C114614502 @default.
- W3191030349 hasConcept C118615104 @default.
- W3191030349 hasConcept C158448853 @default.
- W3191030349 hasConcept C17020691 @default.
- W3191030349 hasConcept C185592680 @default.
- W3191030349 hasConcept C198043062 @default.
- W3191030349 hasConcept C202444582 @default.
- W3191030349 hasConcept C22324862 @default.
- W3191030349 hasConcept C33676613 @default.
- W3191030349 hasConcept C33923547 @default.
- W3191030349 hasConcept C55493867 @default.
- W3191030349 hasConcept C86339819 @default.
- W3191030349 hasConceptScore W3191030349C104317684 @default.
- W3191030349 hasConceptScore W3191030349C114614502 @default.
- W3191030349 hasConceptScore W3191030349C118615104 @default.
- W3191030349 hasConceptScore W3191030349C158448853 @default.
- W3191030349 hasConceptScore W3191030349C17020691 @default.
- W3191030349 hasConceptScore W3191030349C185592680 @default.
- W3191030349 hasConceptScore W3191030349C198043062 @default.
- W3191030349 hasConceptScore W3191030349C202444582 @default.
- W3191030349 hasConceptScore W3191030349C22324862 @default.
- W3191030349 hasConceptScore W3191030349C33676613 @default.
- W3191030349 hasConceptScore W3191030349C33923547 @default.
- W3191030349 hasConceptScore W3191030349C55493867 @default.
- W3191030349 hasConceptScore W3191030349C86339819 @default.
- W3191030349 hasFunder F4320306076 @default.
- W3191030349 hasIssue "6" @default.
- W3191030349 hasLocation W31910303491 @default.
- W3191030349 hasLocation W31910303492 @default.
- W3191030349 hasOpenAccess W3191030349 @default.
- W3191030349 hasPrimaryLocation W31910303491 @default.
- W3191030349 hasRelatedWork W1506487546 @default.
- W3191030349 hasRelatedWork W1607154928 @default.
- W3191030349 hasRelatedWork W1966053345 @default.
- W3191030349 hasRelatedWork W1978042415 @default.
- W3191030349 hasRelatedWork W1984249870 @default.
- W3191030349 hasRelatedWork W2055993960 @default.
- W3191030349 hasRelatedWork W2313739945 @default.
- W3191030349 hasRelatedWork W3032880480 @default.
- W3191030349 hasRelatedWork W4206722294 @default.
- W3191030349 hasRelatedWork W4248060259 @default.
- W3191030349 hasVolume "54" @default.
- W3191030349 isParatext "false" @default.
- W3191030349 isRetracted "false" @default.
- W3191030349 magId "3191030349" @default.
- W3191030349 workType "article" @default.