On essential norm of the Neumann operator
نویسندگان
چکیده
منابع مشابه
Essential Norms of the Neumann Operator of the Arithmetical Mean
Let K ⊂ m (m 2) be a compact set; assume that each ball centered on the boundary B of K meets K in a set of positive Lebesgue measure. Let C 0 be the class of all continuously differentiable real-valued functions with compact support in m and denote by σm the area of the unit sphere in m . With each φ ∈ C 0 we associate the function WKφ(z) = 1 σm ∫ m\K gradφ(x) · z − x |z − x|m dx of the variab...
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The symbol λk (k ∈ {1, 2}) will denote the k-dimensional Hausdorff measure (with the usual normalization, so that λk([0, 1] ) = 1). For M ⊂ R we use the symbols ∂M , intM and clM to denote the boundary, the interior and the closure of M , respectively. For M 6= ∅ we denote by C(M) the Banach space of all bounded continuous functions on M with the supremum norm, by 1M the constant function equal...
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ژورنال
عنوان ژورنال: Mathematica Bohemica
سال: 1992
ISSN: 0862-7959,2464-7136
DOI: 10.21136/mb.1992.126064