Matches in SemOpenAlex for { <https://semopenalex.org/work/W3099204562> ?p ?o ?g. }
- W3099204562 endingPage "1175" @default.
- W3099204562 startingPage "1149" @default.
- W3099204562 abstract "We study Luzin N-property with respect to the Hausdorff measures for Sobolev spaces W^k_p(R^n,R^d). We prove that such N-property holds except for one critical dimensional value t_*=n-(k-1)p; for this critical value the N-property fails in general, and we constructed the corresponding nontrivial counterexample (based on the theory of lacunary Fourier series). Nevertheless, this N-property holds if we assume in addition that the highest k-derivatives belongs to the Lorentz space L_{p,1} instead of L_p. We extend these results to the case of fractional Sobolev spaces as well. Also, we establish some Fubini type theorems for $N$-properties and discuss their applications to the Morse--Sard theorem and its recent extensions." @default.
- W3099204562 created "2020-11-23" @default.
- W3099204562 creator A5024557912 @default.
- W3099204562 creator A5041606721 @default.
- W3099204562 creator A5062659299 @default.
- W3099204562 date "2019-01-01" @default.
- W3099204562 modified "2023-10-18" @default.
- W3099204562 title "On the Luzin N-property and the uncertainty principle for Sobolev mappings" @default.
- W3099204562 cites W124328594 @default.
- W3099204562 cites W130982531 @default.
- W3099204562 cites W136246391 @default.
- W3099204562 cites W1480253648 @default.
- W3099204562 cites W1978067107 @default.
- W3099204562 cites W1979705132 @default.
- W3099204562 cites W1983938205 @default.
- W3099204562 cites W2012865928 @default.
- W3099204562 cites W2017964054 @default.
- W3099204562 cites W2049060790 @default.
- W3099204562 cites W2055887599 @default.
- W3099204562 cites W2064204343 @default.
- W3099204562 cites W2073710249 @default.
- W3099204562 cites W2077648214 @default.
- W3099204562 cites W2092375443 @default.
- W3099204562 cites W2114555288 @default.
- W3099204562 cites W2126612798 @default.
- W3099204562 cites W2167099646 @default.
- W3099204562 cites W2251490743 @default.
- W3099204562 cites W2286472121 @default.
- W3099204562 cites W2302258934 @default.
- W3099204562 cites W2318763326 @default.
- W3099204562 cites W2333265479 @default.
- W3099204562 cites W2334279071 @default.
- W3099204562 cites W2419112215 @default.
- W3099204562 cites W249196963 @default.
- W3099204562 cites W26105898 @default.
- W3099204562 cites W2766024807 @default.
- W3099204562 cites W2793869493 @default.
- W3099204562 cites W2963645786 @default.
- W3099204562 cites W4236242570 @default.
- W3099204562 cites W4243803704 @default.
- W3099204562 cites W4249391942 @default.
- W3099204562 cites W4251421851 @default.
- W3099204562 cites W4253442214 @default.
- W3099204562 cites W4253789858 @default.
- W3099204562 cites W612167533 @default.
- W3099204562 cites W654833068 @default.
- W3099204562 doi "https://doi.org/10.2140/apde.2019.12.1149" @default.
- W3099204562 hasPublicationYear "2019" @default.
- W3099204562 type Work @default.
- W3099204562 sameAs 3099204562 @default.
- W3099204562 citedByCount "6" @default.
- W3099204562 countsByYear W30992045622017 @default.
- W3099204562 countsByYear W30992045622019 @default.
- W3099204562 countsByYear W30992045622020 @default.
- W3099204562 countsByYear W30992045622021 @default.
- W3099204562 crossrefType "journal-article" @default.
- W3099204562 hasAuthorship W3099204562A5024557912 @default.
- W3099204562 hasAuthorship W3099204562A5041606721 @default.
- W3099204562 hasAuthorship W3099204562A5062659299 @default.
- W3099204562 hasBestOaLocation W30992045622 @default.
- W3099204562 hasConcept C111472728 @default.
- W3099204562 hasConcept C118615104 @default.
- W3099204562 hasConcept C121332964 @default.
- W3099204562 hasConcept C138885662 @default.
- W3099204562 hasConcept C162838799 @default.
- W3099204562 hasConcept C189950617 @default.
- W3099204562 hasConcept C191399826 @default.
- W3099204562 hasConcept C202444582 @default.
- W3099204562 hasConcept C2776551381 @default.
- W3099204562 hasConcept C33923547 @default.
- W3099204562 hasConcept C55526981 @default.
- W3099204562 hasConcept C5667645 @default.
- W3099204562 hasConcept C63356602 @default.
- W3099204562 hasConcept C74650414 @default.
- W3099204562 hasConcept C99730327 @default.
- W3099204562 hasConceptScore W3099204562C111472728 @default.
- W3099204562 hasConceptScore W3099204562C118615104 @default.
- W3099204562 hasConceptScore W3099204562C121332964 @default.
- W3099204562 hasConceptScore W3099204562C138885662 @default.
- W3099204562 hasConceptScore W3099204562C162838799 @default.
- W3099204562 hasConceptScore W3099204562C189950617 @default.
- W3099204562 hasConceptScore W3099204562C191399826 @default.
- W3099204562 hasConceptScore W3099204562C202444582 @default.
- W3099204562 hasConceptScore W3099204562C2776551381 @default.
- W3099204562 hasConceptScore W3099204562C33923547 @default.
- W3099204562 hasConceptScore W3099204562C55526981 @default.
- W3099204562 hasConceptScore W3099204562C5667645 @default.
- W3099204562 hasConceptScore W3099204562C63356602 @default.
- W3099204562 hasConceptScore W3099204562C74650414 @default.
- W3099204562 hasConceptScore W3099204562C99730327 @default.
- W3099204562 hasIssue "5" @default.
- W3099204562 hasLocation W30992045621 @default.
- W3099204562 hasLocation W30992045622 @default.
- W3099204562 hasOpenAccess W3099204562 @default.
- W3099204562 hasPrimaryLocation W30992045621 @default.
- W3099204562 hasRelatedWork W1599825314 @default.
- W3099204562 hasRelatedWork W2087968352 @default.
- W3099204562 hasRelatedWork W2766024807 @default.