Results 81 to 90 of about 18,079 (220)

Geometry of analytic continuation on complex manifolds – history, survey, and report

open access: yesComplex Manifolds
Beginning with the state of art around 1953, solutions of the Levi problem on complex manifolds will be recalled at first up to Takayama’s result in 1998.
Ohsawa Takeo
doaj   +1 more source

2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Space of the Unit Ball

open access: yesAxioms
There are two aims in this paper. One is to completely characterize complex symmetric and 2-complex symmetric weighted composition operators induced by some special symbols on the weighted Bergman space of the unit ball, and the other is to fully ...
Hui-Ling Jin, Zhi-Jie Jiang
doaj   +1 more source

Complex symmetric difference of the weighted composition operators on weighted Bergman space of the half-plane

open access: yesAIMS Mathematics
The main goal of this paper was to completely characterize complex symmetric difference of the weighted composition operators induced by three type symbols on weighted Bergman space of the right half-plane with the conjugations $ \mathcal{J}f(z ...
Zhi-jie Jiang
doaj   +1 more source

A remark on 'Some numerical results in complex differential geometry'

open access: yes, 2006
In this note we verify certain statement about the operator $Q\_K$ constructed by Donaldson in [3] by using the full asymptotic expansion of Bergman kernel obtained in [2] and [4].Comment: 7 pages, modified the relation on $K\_p$ and $K\_{\omega,p}
Liu, Kefeng, Ma, Xiaonan
core   +3 more sources

The Bergman kernel on forms: General theory

open access: yesProceedings of the American Mathematical Society, 2018
The goal of this note is to explore the Bergman projection on forms. In particular, we show that some of most basic facts used to construct the Bergman kernel on functions, such as pointwise evaluation in $L^2_{0,q}( )\cap\ker\bar\partial_q$, fail for $(0,q)$-forms, $q \geq 1$.
openaire   +3 more sources

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