Results 21 to 30 of about 451,582 (212)
Reproducing Kernels for Hardy and Bergman Spaces of the Upper Half Plane
Communications in Advanced Mathematical Sciences, 2020 Using invertible isometries between Hardy and Bergman spaces of the unit disk $\D$ and the corresponding spaces of the upper half plane $\uP$, we determine explicitly the reproducing kernels for the Hardy and Bergman spaces of $\uP$. As a consequence, we
Job Bonyo
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Bergman kernels of elementary Reinhardt domains [PDF]
Pacific Journal of Mathematics, 2020 Typos corrected.
Chakrabarti, Debraj +3 more
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The Zeros of the Bergman Kernel for Some Reinhardt Domains
Journal of Function Spaces, 2016 We consider the Reinhardt domain Dn={(ζ,z)∈C×Cn:|ζ ...
Jong-Do Park
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The Bergman kernel for the Vekua equation [PDF]
Mathematical methods in the applied sciences, 2018 The paper extends some well‐known results for analytic functions onto solutions of the Vekua equation ∂z‾W=aW+bW¯ regarding the existence and construction of the Bergman kernel and of the corresponding Bergman projection operator.
Hugo M. Campos, V. Kravchenko
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Mathematics, 2022 The central problem of this study is to represent any holomorphic and square integrable function on the Kepler manifold in the series form based on Fourier analysis.
Zeyuan Song, Zuoren Sun
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Pointwise estimate for the Bergman kernel of the weighted Bergman spaces with exponential type weights [PDF]
, 2017 Let AL ϕ 2 ( D ) denote the closed subspace of L 2 ( D , e − 2 ϕ d λ ) consisting of holomorphic functions in the unit disc D . For certain class of subharmonic functions ϕ : D → D , we prove an upper pointwise estimate for the Bergman kernel for AL ϕ 2 (
S. Asserda, Amal Hichame
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On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn
Journal of Function Spaces, 2014 Based on recent results on boundedness of Bergman projection with positive Bergman kernel in analytic spaces in various types of domains in Cn, we extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to ...
Romi F. Shamoyan, Olivera Mihić
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The bergman kernel method for the numerical conformal mapping of simply connected domains [PDF]
, 1977 A numerical method for the conformal mapping of simply-connected domains onto the unit disc is considered. The method is based on the use of the Bergman kernel function of the domain.
Levin, D, Papamichael, N, Sideridis, A
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One dimensional estimates for the Bergman kernel and logarithmic capacity [PDF]
, 2017 Carleson showed that the Bergman space for a domain on the plane is trivial if and only if its complement is polar. Here we give a quantitative version of this result.
Zbigniew Blocki, W. Zwonek
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Off-Spectral Analysis of Bergman Kernels [PDF]
Communications in Mathematical Physics, 2020 AbstractThe asymptotic analysis of Bergman kernels with respect to exponentially varying measures near emergent interfaces has attracted recent attention. Such interfaces typically occur when the associated limiting Bergman density function vanishes on a portion of the plane,the off-spectral region.
Hedenmalm, Haakan, Wennman, Aron
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