Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300871712> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W4300871712 abstract "Let $Omega subset mathbb{R}^n$ be a domain that supports the $p$-Poincar'e inequality. Given a homeomorphism $varphi in L^1_p(Omega)$, for $p>n$ we show the domain $varphi(Omega)$ has finite geodesic diameter. This result has a direct application to Brennan's conjecture and quasiconformal homeomorphisms. {bf The Inverse Brennan's conjecture} states that for any simply connected plane domain $Omega' subsetmathbb C$ with nonempty boundary and for any conformal homeomorphism $varphi$ from the unit disc $mathbb{D}$ onto $Omega'$ the complex derivative $varphi'$ is integrable in the degree $s$, $-2<s<2/3$. If $Omega'$ is bounded than $-2<sleq 2$. We prove that integrability in the degree $s> 2$ is not possible for domains $Omega'$ with infinite geodesic diameter." @default.
- W4300871712 created "2022-10-04" @default.
- W4300871712 creator A5022301362 @default.
- W4300871712 creator A5061668625 @default.
- W4300871712 date "2013-09-08" @default.
- W4300871712 modified "2023-10-16" @default.
- W4300871712 title "Sobolev homeomorphisms and Brennan's conjecture" @default.
- W4300871712 doi "https://doi.org/10.48550/arxiv.1309.1940" @default.
- W4300871712 hasPublicationYear "2013" @default.
- W4300871712 type Work @default.
- W4300871712 citedByCount "0" @default.
- W4300871712 crossrefType "posted-content" @default.
- W4300871712 hasAuthorship W4300871712A5022301362 @default.
- W4300871712 hasAuthorship W4300871712A5061668625 @default.
- W4300871712 hasBestOaLocation W43008717121 @default.
- W4300871712 hasConcept C10728891 @default.
- W4300871712 hasConcept C114614502 @default.
- W4300871712 hasConcept C121332964 @default.
- W4300871712 hasConcept C134306372 @default.
- W4300871712 hasConcept C165818556 @default.
- W4300871712 hasConcept C167204820 @default.
- W4300871712 hasConcept C202444582 @default.
- W4300871712 hasConcept C207467116 @default.
- W4300871712 hasConcept C24890656 @default.
- W4300871712 hasConcept C2524010 @default.
- W4300871712 hasConcept C2775997480 @default.
- W4300871712 hasConcept C2779557605 @default.
- W4300871712 hasConcept C2780990831 @default.
- W4300871712 hasConcept C33923547 @default.
- W4300871712 hasConcept C34388435 @default.
- W4300871712 hasConcept C36503486 @default.
- W4300871712 hasConcept C62354387 @default.
- W4300871712 hasConcept C62520636 @default.
- W4300871712 hasConceptScore W4300871712C10728891 @default.
- W4300871712 hasConceptScore W4300871712C114614502 @default.
- W4300871712 hasConceptScore W4300871712C121332964 @default.
- W4300871712 hasConceptScore W4300871712C134306372 @default.
- W4300871712 hasConceptScore W4300871712C165818556 @default.
- W4300871712 hasConceptScore W4300871712C167204820 @default.
- W4300871712 hasConceptScore W4300871712C202444582 @default.
- W4300871712 hasConceptScore W4300871712C207467116 @default.
- W4300871712 hasConceptScore W4300871712C24890656 @default.
- W4300871712 hasConceptScore W4300871712C2524010 @default.
- W4300871712 hasConceptScore W4300871712C2775997480 @default.
- W4300871712 hasConceptScore W4300871712C2779557605 @default.
- W4300871712 hasConceptScore W4300871712C2780990831 @default.
- W4300871712 hasConceptScore W4300871712C33923547 @default.
- W4300871712 hasConceptScore W4300871712C34388435 @default.
- W4300871712 hasConceptScore W4300871712C36503486 @default.
- W4300871712 hasConceptScore W4300871712C62354387 @default.
- W4300871712 hasConceptScore W4300871712C62520636 @default.
- W4300871712 hasLocation W43008717121 @default.
- W4300871712 hasOpenAccess W4300871712 @default.
- W4300871712 hasPrimaryLocation W43008717121 @default.
- W4300871712 hasRelatedWork W2276727211 @default.
- W4300871712 hasRelatedWork W2320742254 @default.
- W4300871712 hasRelatedWork W2322892993 @default.
- W4300871712 hasRelatedWork W2563901864 @default.
- W4300871712 hasRelatedWork W2953105112 @default.
- W4300871712 hasRelatedWork W2964334774 @default.
- W4300871712 hasRelatedWork W3098055055 @default.
- W4300871712 hasRelatedWork W4220790968 @default.
- W4300871712 hasRelatedWork W4292736143 @default.
- W4300871712 hasRelatedWork W4298018575 @default.
- W4300871712 isParatext "false" @default.
- W4300871712 isRetracted "false" @default.
- W4300871712 workType "article" @default.