On the dimension of the Fock type spaces

DOI10.1016/j.jmaa.2021.125288zbMath1470.30040arXiv2102.13063OpenAlexW3158382019MaRDI QIDQ2038178

Alexander Borichev, Van An Le, El Hassan Youssfi

Publication date: 9 July 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.13063

zbMATH Keywords

Fock spacesubharmonic functionplurisubharmonic function

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Plurisubharmonic functions and generalizations (32U05) Bergman spaces and Fock spaces (30H20)

Related Items (2)

On the dimension of Bergman spaces on \(\mathbb{P}^1\) ⋮ Fredholm Toeplitz operators on doubling Fock spaces

Cites Work

• Unnamed Item
• A remark on the dimension of the Bergman space of some Hartogs domains
• Infiniteness of zero modes for the Pauli operator with singular magnetic field
• Pointwise estimates for the Bergman kernel of the weighted Fock space
• On the \(\bar {\partial{}}\) equation in weighted \(L^ 2\) norms in \(\mathbb{C} ^ 1\)
• Spectral properties of Schrödinger operators with magnetic fields for a spin \({1 \over{} 2}\) particle
• The Dirichlet problem for a complex Monge-Ampère equation
• Sublevel sets and pull-backs of plurisubharmonic functions
• \(L_h^2\)-functions in unbounded balanced domains
• Algebraic values of meromorphic maps
• Entire Functions in Weighted L2 and Zero Modes of the Pauli Operator with Non-Signdefinite Magnetic Field
• Complex Analysis
• The Minimum Modulus of Large Integral Functions

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