Matches in SemOpenAlex for { <https://semopenalex.org/work/W4285803191> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W4285803191 abstract "In this paper, we start a detailed study of a new notion of rectifiability in Carnot groups: we say that a Radon measure is Ph -rectifiable, for h∈N , if it has positive h-lower density and finite h-upper density almost everywhere, and, at almost every point, it admits a unique tangent measure up to multiples. First, we compare Ph -rectifiability with other notions of rectifiability previously known in the literature in the setting of Carnot groups, and we prove that it is strictly weaker than them. Second, we prove several structure properties of Ph -rectifiable measures. Namely, we prove that the support of a Ph -rectifiable measure is almost everywhere covered by sets satisfying a cone-like property, and in the particular case of Ph -rectifiable measures with complemented tangents, we show that they are supported on the union of intrinsically Lipschitz and differentiable graphs. Such a covering property is used to prove the main result of this paper: we show that a Ph -rectifiable measure has almost everywhere positive and finite h-density whenever the tangents admit at least one complementary subgroup." @default.
- W4285803191 created "2022-07-19" @default.
- W4285803191 creator A5017342383 @default.
- W4285803191 creator A5086046969 @default.
- W4285803191 date "2022-07-18" @default.
- W4285803191 modified "2023-09-30" @default.
- W4285803191 title "On Rectifiable Measures in Carnot Groups: Existence of Density" @default.
- W4285803191 cites W147587337 @default.
- W4285803191 cites W1985582174 @default.
- W4285803191 cites W1989474511 @default.
- W4285803191 cites W1992943819 @default.
- W4285803191 cites W2023189935 @default.
- W4285803191 cites W2044139543 @default.
- W4285803191 cites W2048552039 @default.
- W4285803191 cites W2071118979 @default.
- W4285803191 cites W2073552032 @default.
- W4285803191 cites W2078199610 @default.
- W4285803191 cites W2318237205 @default.
- W4285803191 cites W2593843450 @default.
- W4285803191 cites W2781530091 @default.
- W4285803191 cites W2963418541 @default.
- W4285803191 cites W2963660412 @default.
- W4285803191 cites W3135274968 @default.
- W4285803191 cites W3144437826 @default.
- W4285803191 cites W3160900022 @default.
- W4285803191 cites W3162999813 @default.
- W4285803191 cites W3175920863 @default.
- W4285803191 cites W3193751331 @default.
- W4285803191 cites W3200743154 @default.
- W4285803191 cites W3217321729 @default.
- W4285803191 cites W388957831 @default.
- W4285803191 cites W4206251610 @default.
- W4285803191 cites W4220665941 @default.
- W4285803191 cites W4226063256 @default.
- W4285803191 doi "https://doi.org/10.1007/s12220-022-00971-7" @default.
- W4285803191 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/35874859" @default.
- W4285803191 hasPublicationYear "2022" @default.
- W4285803191 type Work @default.
- W4285803191 citedByCount "3" @default.
- W4285803191 countsByYear W42858031912023 @default.
- W4285803191 crossrefType "journal-article" @default.
- W4285803191 hasAuthorship W4285803191A5017342383 @default.
- W4285803191 hasAuthorship W4285803191A5086046969 @default.
- W4285803191 hasBestOaLocation W42858031911 @default.
- W4285803191 hasConcept C119104473 @default.
- W4285803191 hasConcept C121332964 @default.
- W4285803191 hasConcept C138187205 @default.
- W4285803191 hasConcept C149944404 @default.
- W4285803191 hasConcept C202444582 @default.
- W4285803191 hasConcept C202615002 @default.
- W4285803191 hasConcept C22324862 @default.
- W4285803191 hasConcept C2524010 @default.
- W4285803191 hasConcept C27142425 @default.
- W4285803191 hasConcept C2780009758 @default.
- W4285803191 hasConcept C33923547 @default.
- W4285803191 hasConcept C41008148 @default.
- W4285803191 hasConcept C77088390 @default.
- W4285803191 hasConcept C97355855 @default.
- W4285803191 hasConceptScore W4285803191C119104473 @default.
- W4285803191 hasConceptScore W4285803191C121332964 @default.
- W4285803191 hasConceptScore W4285803191C138187205 @default.
- W4285803191 hasConceptScore W4285803191C149944404 @default.
- W4285803191 hasConceptScore W4285803191C202444582 @default.
- W4285803191 hasConceptScore W4285803191C202615002 @default.
- W4285803191 hasConceptScore W4285803191C22324862 @default.
- W4285803191 hasConceptScore W4285803191C2524010 @default.
- W4285803191 hasConceptScore W4285803191C27142425 @default.
- W4285803191 hasConceptScore W4285803191C2780009758 @default.
- W4285803191 hasConceptScore W4285803191C33923547 @default.
- W4285803191 hasConceptScore W4285803191C41008148 @default.
- W4285803191 hasConceptScore W4285803191C77088390 @default.
- W4285803191 hasConceptScore W4285803191C97355855 @default.
- W4285803191 hasFunder F4320306164 @default.
- W4285803191 hasFunder F4320338335 @default.
- W4285803191 hasIssue "9" @default.
- W4285803191 hasLocation W42858031911 @default.
- W4285803191 hasLocation W42858031912 @default.
- W4285803191 hasLocation W42858031913 @default.
- W4285803191 hasLocation W42858031914 @default.
- W4285803191 hasOpenAccess W4285803191 @default.
- W4285803191 hasPrimaryLocation W42858031911 @default.
- W4285803191 hasRelatedWork W1570479333 @default.
- W4285803191 hasRelatedWork W2023463173 @default.
- W4285803191 hasRelatedWork W2951343756 @default.
- W4285803191 hasRelatedWork W2963222565 @default.
- W4285803191 hasRelatedWork W3088160493 @default.
- W4285803191 hasRelatedWork W4287066704 @default.
- W4285803191 hasRelatedWork W4299313260 @default.
- W4285803191 hasRelatedWork W4301881044 @default.
- W4285803191 hasRelatedWork W4302082678 @default.
- W4285803191 hasRelatedWork W4309045450 @default.
- W4285803191 hasVolume "32" @default.
- W4285803191 isParatext "false" @default.
- W4285803191 isRetracted "false" @default.
- W4285803191 workType "article" @default.