Pointwise estimate for the Bergman kernel of the weighted Bergman spaces with exponential type weights

DOI10.1016/j.crma.2013.11.001zbMath1297.30076arXiv1707.01884OpenAlexW2073044084MaRDI QIDQ2438554

Saïd Asserda, Amal Hichame

Publication date: 5 March 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01884

zbMATH Keywords

weighted Bergman kernelssubharmonic weight functions

Mathematics Subject Classification ID

Bergman spaces and Fock spaces (30H20)

Related Items (12)

Asymptotic behavior of eigenvalues of Toeplitz operators on the weighted analytic spaces ⋮ Lipschitz characterization for exponentially weighted Bergman spaces of the unit ball ⋮ Weighted composition operators on Bergman spaces Aωp$A^p_\omega$ ⋮ Unnamed Item ⋮ Two weight inequality for Bergman projection ⋮ Weighted composition operators between Bergman spaces with exponential weights ⋮ Toeplitz operators on Bergman spaces with exponential weights ⋮ Schatten class operators on exponential weighted Bergman spaces ⋮ Bergman spaces with exponential weights ⋮ The weighted composition operators on the large weighted Bergman spaces ⋮ Embedding theorems and integration operators on Bergman spaces with exponential weights ⋮ Weighted composition operators between large Fock spaces in several complex variables

Cites Work

• Unnamed Item
• Smooth approximation of Lipschitz functions on Riemannian manifolds
• Pointwise estimates for the Bergman kernel of the weighted Fock space
• On the \(\bar {\partial{}}\) equation in weighted \(L^ 2\) norms in \(\mathbb{C} ^ 1\)
• Pointwise estimates for the weighted Bergman projection kernel in \({\mathbb C}^n\), using a weighted \(L^2\) estimate for the \(\bar\partial\) equation
• Carleson's imbedding theorem for a weighted Bergman space
• Trace ideal criteria for Toeplitz and Hankel operators on the weighted Bergman spaces with exponential type weights
• $C^\infty$ approximations of convex, subharmonic, and plurisubharmonic functions
• Embedding theorems for weighted classes of harmonic and analytic functions
• Sampling in weighted \(L^p\) spaces of entire functions in \(\mathbb{C}^n\) and estimates of the Bergman kernel

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