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5 080 (0,072s)

Výsledek výzkumu

Boundary behaviour of the Bergman invariant and related guantities

A description is given of the boundary behaviour of the Bergman invariant, and of the coefficients of the Bergman metric, of the associated Laplace-Beltrami operator, of its curvature tensor, Ricci curvature and scalar curv...

BA - Obecná matematika

  • 2008
  • Jx
Výsledek výzkumu

Boundary behaviour of the Bergman invariant and related quantities

Using Fefferman´s classical result on the boundary singularity of the Bergman kernel, we give an analogous description of the boundary behaviour of various related quantities like the Bergman invariant, the coefficients of the B...

BA - Obecná matematika

  • 2008
  • Jx
Výsledek výzkumu

Weighted Bergman kernels and balanced metrics

We study existence and uniqueness of balanced metrics on smoothly bounded strictly pseudoconvex domains in the complex n-space. We show that, as with the solution to the Monger-Ampere equation, balanced metrics on such domains canno...

BA - Obecná matematika

  • 2006
  • D
Výsledek výzkumu

Weighted Bergman kernels and quantization.

The paper generalizes results on the asymptotic behaviour of the Bergman kernels and of the Berezin transform to pseudoconvex domains which need not be smoothly bounded and to metrics which need not be real-analytic. For smoothly bo...

BA - Obecná matematika

  • 2002
  • Jx
Výsledek výzkumu

Bergman kernels, TYZ expansions and Hankel operators on the Kepler manifold

of the associated Bergman spaces, discuss the corresponding asymptotic expansions of Tian–Yau observe that the Kepler manifold either does not admit balanced metrics, or such metrics are not unique....

BA - Obecná matematika

  • 2016
  • Jx
  • Odkaz
Výsledek výzkumu

Uniqueness of smooth radial balanced metrics on the disc

We show that the usual Poincaré metric is the only radial balanced metric on the disc with not too wild boundary behaviour. Additionally, we identify explicitly all radial metrics with such boundary behaviour which satisfy ...

Pure mathematics

  • 2019
  • Jimp
  • Odkaz
Výsledek výzkumu

Radial balanced metrics on the unit ball of the Kepler manifold

We show that there is no radial balanced metric on the unit ball of the Kepler manifold with not too wild boundary behavior. Additionally, we identify explicitly the weights corresponding to radial metrics with such boundary behavio...

Pure mathematics

  • 2019
  • Jimp
  • Odkaz
Výsledek výzkumu

Asymptotic behavior of Bergman kernels with logarithmic weight

We describe singularities of weighted Bergman kernels on the unit disc with respect to radial logarithmic weights.

BA - Obecná matematika

  • 2012
  • Jx
  • Odkaz
Výsledek výzkumu

On R-sectorial derivatives on Bergman spaces

In this paper we show boundedness of vector-valued Bergman projections on simple connected domains. With this result we show R-sectoriality of the derivative on the Bergman space on C+ and maximal L-p-regularity for an integrodiffer...

BA - Obecná matematika

  • 2008
  • Jx
Výsledek výzkumu

To Bergman's 100 year anniversary

An interview with Karolina Stehlikova about Ingmar Bergman the theatre director.

Performing arts studies (Musicology, Theater science, Dramaturgy)

  • 2018
  • O
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