Projectes per any
Resum
© 2018 American Mathematical Society. For a bounded simply connected domain Ω ⊂ R2, any point z ∈ Ω and any 0 < α < 1, we give a lower bound for the α-dimensional Hausdorff content of the set of points in the boundary of Ω which can be joined to z by a John curve with a suitable John constant depending only on α, in terms of the distance of z to ∂Ω. In fact this set in the boundary contains the intersection ∂Ωz ∩∂Ω of the boundary of a John subdomain Ωz of Ω, centered at z, with the boundary of Ω. This may be understood as a quantitative version of a result of Makarov. This estimate is then applied to obtain the pointwise version of a weighted Hardy inequality.
Idioma original | Anglès |
---|---|
Pàgines (de-a) | 3403-3412 |
Revista | Proceedings of the American Mathematical Society |
Volum | 146 |
Número | 8 |
DOIs | |
Estat de la publicació | Publicada - 1 de gen. 2018 |
Fingerprint
Navegar pels temes de recerca de 'Accessible parts of boundary for simply connected domains'. Junts formen un fingerprint únic.Projectes
- 1 Acabat
-
Aspectos probabilísticos y geométricos de la teoría de funciones
Nicolau Nos, A. (PI), Gonzalez Llorente, J. (Investigador/a Principal 2), Arroyo Garcia, A. R. (Col.laborador/a), Donaire Benito, J. J. (Investigador/a), González Fuentes, M. J. (Investigador/a), Levi, M. (Investigador/a), Soler Gibert, O. (Col.laborador/a), Limani, A. (Col.laborador/a) & Macia Medina, V. J. (Col.laborador/a)
Ministerio de Economía y Competitividad (MINECO)
1/01/18 → 30/09/22
Projecte: Projectes i Ajuts a la Recerca