Radial segments and conformal mapping of an annulus onto domains bounded by a circle and a k-circle

Tetsuo Inoue

Displaying similar documents to “Radial segments and conformal mapping of an annulus onto domains bounded by a circle and a k-circle”

An alternate proof of Hall's theorem on a conformal mapping inequality.

Balasubramanian, R., Ponnusamy, S. (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Integral presentations of deviations of de la Vallee Poussin right-angled sums

Vladimir I. Rukasov, Olga G. Rovenska (2009)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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We investigate approximation properties of de la Vallee Poussin right-angled sums on the classes of periodic functions of several variables with a high smoothness. We obtain integral presentations of deviations of de la Vallee Poussin sums on the classes $C_{β, \infty}^{m α}$ .

Monotone measures with bad tangential behavior in the plane

Robert Černý, Jan Kolář, Mirko Rokyta (2011)

Commentationes Mathematicae Universitatis Carolinae

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We show that for every $ε > 0$ , there is a set $A \subset ℝ^{2}$ such that $ℋ^{1} ⌞ A$ is a monotone measure, the corresponding tangent measures at the origin are not unique and $ℋ^{1} ⌞ A$ has the $1$ -dimensional density between $1$ and $3 + ε$ everywhere on the support.

Two-dimensional real symmetric spaces with maximal projection constant

Bruce Chalmers, Grzegorz Lewicki (2000)

Annales Polonici Mathematici

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Let V be a two-dimensional real symmetric space with unit ball having 8n extreme points. Let λ(V) denote the absolute projection constant of V. We show that $λ (V) \leq λ (V_{n})$ where $V_{n}$ is the space whose ball is a regular 8n-polygon. Also we reprove a result of [1] and [5] which states that $4 / π = λ (l ₂^{(2)}) \geq λ (V)$ for any two-dimensional real symmetric space V.