- Tytuł:
- New cases of equality between p-module and p-capacity
- Autorzy:
- Caraman, Petru
- Powiązania:
- https://bibliotekanauki.pl/articles/1312444.pdf
- Data publikacji:
- 1991
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
p-capacity
p-module - Opis:
- Let E₀, E₁ be two subsets of the closure D̅ of a domain D of the Euclidean n-space $ℝ^n$ and Γ(E₀,E₁,D) the family of arcs joining E₀ to E₁ in D. We establish new cases of equality $M_pΓ(E₀,E₁,D) = cap_p(E₀,E₁,D)$, where $M_pΓ(E₀,E₁,D)$ is the p-module of the arc family Γ(E₀,E₁,D), while $cap_p(E₀,E₁,D)$ is the p-capacity of E₀,E₁ relative to D and p > 1. One of these cases is when p = n, E̅₀ ∩ E̅₁ = ∅, $E_i = E'_i ∪ E''_i ∪ E'''_i ∪ F_i$, $E'_i$ is inaccessible from D by rectifiable arcs, $E''_i$ is open relative to D̅ or to the boundary ∂D of D, $E'''_i$ is at most countable, $F_i$ is closed (i = 0,1) and D is bounded and m-smooth on (F₀ ∪ F₁) ∩ ∂D.
- Źródło:
-
Annales Polonici Mathematici; 1991, 55, 1; 37-56
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł