Boundary properties and applications of the differentiated poisson integral for different domains
著者
書誌事項
Boundary properties and applications of the differentiated poisson integral for different domains
（Mathematics research developments series）
Nova Science Publishers, c2009
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This monograph is devoted to the investigation of boundary properties of the differentiated Poisson integral. It is proved that the boundary properties of the differentiated Poisson integral for different types of domains (circle, sphere, half-plane, half-space, bicylinder) differ substantially from each other and depend on in what sense the integral density is differentiable. The theorems proven here are, in a definite sense, improvable. Relying on the obtained results, the Dirichlet problem is solved for a sphere and a half-space (of a any finite dimension) in the case where the boundary function is measurable and finite almost everywhere.
目次
- Preface
- Boundary Properties of Derivatives of the Poisson Integral for a Half-Plane
- Boundary Properties of Derivatives of the Poisson Integral for a Circle
- Boundary Properties of Derivatives of the Poisson Integral for a Ball
- Boundary Properties of Derivatives of the Poisson Integral for a Space Rk+1 + (k > 1) 87
- Boundary Properties of a Differentiated Poisson Integral for a cylinder,and Representation of a Function of Two Variables by a Double Trigonometric Series
- Index.
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