Spherical potentials in weighed Holder spaces of variable order

被引：0

作者：

Vakulov, B.G. ^{[1
]}

机构：

[1] Rostovskij Gosudarstvennyj Univ., Rostov-na-Donu, Russia

来源：

Doklady Akademii Nauk | 2005年 / 400卷 / 01期

关键词：

Mathematical operators - Numerical analysis - Spheres;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Investigated is the spherical potential Kα: Kα f)(x) = 1/γn-1(α) Sn-1∫f(σ)/|x-σ|n-1-α dσ and the related spherical hypersingular integral Dα. These two and also two derivative operators are analyzed in weighed and non-weighed variable-order Holder spaces; the main result is obtaining of certain isomorphisms.

引用

页码：7 / 10

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