The ratio of invariant metrics on the annulus and theta functions

Kazuo Azukawa

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Displaying similar documents to “The ratio of invariant metrics on the annulus and theta functions”

Invariant pseudodistances and pseudometrics - completeness and product property

Marek Jarnicki, Peter Pflug (1991)

Annales Polonici Mathematici

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A survey of properties of invariant pseudodistances and pseudometrics is given with special stress put on completeness and product property.

Holomorphic functions with singularities on algebraic sets.

Sičiak, Józef (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Geometry of symmetrized ellipsoids.

Zapałowski, Pawel (2008)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Convexity in complex analysis

Seán Dineen (1995)

Banach Center Publications

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Berezin--Toeplitz quantization on the Schwartz space of bounded symmetric domains.

Engliš, Miroslav (2005)

Journal of Lie Theory

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Rate of growth of a transient cookie random walk.

Basdevant, Anne-Laure, Singh, Arvind (2008)

Electronic Journal of Probability [electronic only]

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Transfer of Estimates from Convex to Strongly Pseudoconvex Domains in $ℂ^{N}$

Adib Fadlalla (1996)

Banach Center Publications

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In this article, estimates of the hyperbolic and Carathéodory distances in domains $G \subset \subset ℂ^{n}$ , n ≥ 1, are obtained. They are equally valid for the Kobayashi distance.

New examples of effective formulas for holomorphically contractible functions

Marek Jarnicki, Peter Pflug (1999)

Studia Mathematica

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Let $G \subset ℂ^{n}$ and $B \subset ℂ^{m}$ be domains and let Φ:G → B be a surjective holomorphic mapping. We characterize some cases in which invariant functions and pseudometrics on G can be effectively expressed in terms of the corresponding functions and pseudometrics on B.

Solutions to $\bar{\partial}$ -equations on strongly pseudo-convex domains with $L^{p}$ -estimates.

Abdelkader, Osama, Khidr, Shaban (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Linearly invariant families of holomorphic mappings of a ball. The dimension reduction method.

Liczberski, Piotr, Starkov, V.V. (2001)

Sibirskij Matematicheskij Zhurnal

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On planar Beltrami equations and Hölder regularity.

Ricciardi, Tonia (2008)

Annales Academiae Scientiarum Fennicae. Mathematica

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On functions satisfying more than one equation of Schiffer type

J. Macura, J. Śladkowska (1993)

Annales Polonici Mathematici

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The paper concerns properties of holomorphic functions satisfying more than one equation of Schiffer type ( $D_{n}$ -equation). Such equations are satisfied, in particular, by functions that are extremal (in various classes of univalent functions) with respect to functionals depending on a finite number of coefficients.

A polyharmonic analogue of a Lelong theorem and polyhedric harmonicity cells.

Boutaleb, Mohamed (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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