Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Hausdorff density"'
Autor:
Jonas Azzam, Mihalis Mourgoglou
Publikováno v:
Anal. PDE 12, no. 8 (2019), 1891-1941
Tangent measure and blow-up methods are powerful tools for understanding the relationship between the infinitesimal structure of the boundary of a domain and the behavior of its harmonic measure. We introduce a method for studying tangent measures of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd60c9596990c251a87bacf9f9f5acfc
https://doi.org/10.2140/apde.2019.12.1891
https://doi.org/10.2140/apde.2019.12.1891
Autor:
Raanan Schul, Matthew Badger
Publikováno v:
Mathematische Annalen. 361:1055-1072
We repurpose tools from the theory of quantitative rectifiability to study the qualitative rectifiability of measures in $\Bbb{R}^n$, $n\geq 2$. To each locally finite Borel measure $\mu$, we associate a function $\widetilde J_2(\mu, x)$ which uses a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c4067ee45a6f8e04007ad514f4221d4
https://doi.org/10.1007/s00208-014-1104-9
https://doi.org/10.1007/s00208-014-1104-9
Autor:
David A. Herron, Manouchehr Ghamsari
Publikováno v:
Transactions of the American Mathematical Society. 351:3197-3216
We characterize bilipschitz homogeneous Jordan curves by utilizing quasihomogeneous parameterizations. We verify that rectifiable bilipschitz homogeneous Jordan curves satisfy a chordarc condition. We exhibit numerous examples including a bilipschitz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c7f134f2fc93f27a3fb673805f45255
https://doi.org/10.1090/s0002-9947-99-02324-7
https://doi.org/10.1090/s0002-9947-99-02324-7
Akademický článek
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Autor:
Pertti Mattila
Publikováno v:
Transactions of the American Mathematical Society. 205:263
The purpose of this paper is to prove the following theorem: If E is a subset of Euclidean n-space and if the m-dimensional Hausdorff density of E exists and equals one Hm almost everywhere in E, then E is countably (Hm, m) rectifiable. Here Hm is th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::887b3ec4bb4a21f98608ea18c5047c9c
https://doi.org/10.2307/1997203
https://doi.org/10.2307/1997203