Displaying similar documents to “The Schwarz-Christoffel conformal mapping for 'polygons' with infinitely many sides. ”

Boundedness of sublinear operators on the homogeneous Herz spaces.

Guoen Hu (2003)

Publicacions Matemàtiques

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Some boundedness results are established for sublinear operators on the homogeneous Herz spaces. As applications, some new theorems about the boundedness on homogeneous Herz spaces for commutators of singular integral operators are obtained.

Conformal mapping of the domain bounded by a circular polygon with zero angles onto the unit disc

Vladimir Mityushev (1998)

Annales Polonici Mathematici

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The conformal mapping ω(z) of a domain D onto the unit disc must satisfy the condition |ω(t)| = 1 on ∂D, the boundary of D. The last condition can be considered as a Dirichlet problem for the domain D. In the present paper this problem is reduced to a system of functional equations when ∂D is a circular polygon with zero angles. The mapping is given in terms of a Poincaré series.

Uniqueness of the stereographic embedding

Michael Eastwood (2014)

Archivum Mathematicum

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The standard conformal compactification of Euclidean space is the round sphere. We use conformal geodesics to give an elementary proof that this is the only possible conformal compactification.