Criterion of Wiener type for minimal thinness on covering surfaces

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Digital cohomology groups of certain minimal surfaces

In this study, we compute simplicial cohomology groups with different coefficients of a connected sum of certain minimal simple surfaces by using the universal coefficient theorem for cohomology groups. The method used in this paper is a different way to compute digital cohomology groups of minimal simple surfaces. We also prove some theorems related to degree properties of a map on digital sph...

متن کامل

On the Wiener criterion in higher dimensions

where ⊂ Rn is a bounded domain and g is a continuous function on ∂ . In , Riemann [] proposed the famous Dirichlet principle, which states that there always exists a harmonic function continuous up to the boundary and coinciding with g on the boundary. However, Lebesgue [] constructed a bounded domain onwhich theDirichlet problem is not always solvable in . By Perron’s method [, ], ...

متن کامل

Quasiadditivity of Capacity and Minimal Thinness

It is well known that a capacity C is countably subadditive, i.e. We shall prove that the reverse inequality, up to a multiplicative constant, holds for some decomposition of E , provided there is a measure comparable to C. Such a property will be referred to as quasiadditivity. As an application, we shall show that the Green energy for a uniformly-regular domain is quasiadditive with respect t...

متن کامل

On the Minimal Covering of Infinite Sets

Klimb, J., On the minimal covering of infinite sets, Discrete Applied Mathematics 45 (1993) 161-168. Minimal covering of infinite sets is studied. It is shown that if BC2’ is closed, then /* contains a minimal covering of X. If r// is a covering of X, then fl is closed on X if and only if there is an admissible functionf: X-1 4 which has no chain. For star type set systems Theorem 15 gives a su...

متن کامل

Minimal thinness for subordinate Brownian motion in half-space

— We study minimal thinness in the half-space H := {x = (x̃, xd) : x̃ ∈ Rd−1, xd > 0} for a large class of subordinate Brownian motions. We show that the same test for the minimal thinness of a subset of H below the graph of a nonnegative Lipschitz function is valid for all processes in the considered class. In the classical case of Brownian motion this test was proved by Burdzy. Résumé. — Nous é...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences

سال: 1996

ISSN: 0386-2194

DOI: 10.3792/pjaa.72.154