Bergman spaces with exponential weights
From MaRDI portal
Publication:1712591
DOI10.1016/j.jfa.2018.05.001OpenAlexW2804223330MaRDI QIDQ1712591
Alexander P. Schuster, Zhangjian Hu, Xiaofen Lv
Publication date: 22 January 2019
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2018.05.001
Linear operators on function spaces (general) (47B38) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)
Related Items
Toeplitz and Hankel Operators on Bergman Spaces ⋮ On singular values of Hankel operators on Bergman spaces ⋮ Duality of large Fock spaces in several complex variables and compact localization operators ⋮ Littlewood–Paley inequalities for fractional derivative on Bergman spaces ⋮ Fredholm and Schatten class operators on Bergman spaces with exponential weights ⋮ Generalized Volterra‐type operators on generalized Fock spaces ⋮ Weighted composition operators on Bergman spaces Aωp$A^p_\omega$ ⋮ Schatten class Hankel operators on exponential Bergman spaces ⋮ Unnamed Item ⋮ Interpolating sequences for pairs of spaces ⋮ Mean approximation by dilatations in Bergman spaces on the upper half-plane ⋮ Generalized Volterra type integral operators on large Bergman spaces ⋮ Weighted composition operators between Bergman spaces with exponential weights ⋮ Bergman projection on Lebesgue space induced by doubling weight ⋮ Toeplitz operators on Bergman spaces with exponential weights ⋮ Schatten class operators on exponential weighted Bergman spaces ⋮ Toeplitz operators on a class of radially weighted harmonic Bergman spaces ⋮ On solid cores and hulls of weighted Bergman spaces \(A_{\mu }^1\) ⋮ Embedding theorems and integration operators on Bergman spaces with exponential weights ⋮ Toeplitz operators on Bergman spaces with exponential weights for \(0<p\leq 1\) ⋮ Fredholm Toeplitz operators with VMO symbols and the duality of generalized Fock spaces with small exponents ⋮ Bergman spaces with exponential type weights ⋮ Weighted composition operators between large Fock spaces in several complex variables ⋮ Hankel operators on exponential Bergman spaces ⋮ Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey ⋮ Trace estimates of Toeplitz operators on Bergman spaces and applications to composition operators
Cites Work
- Unnamed Item
- Unnamed Item
- Reproducing kernel estimates, bounded projections and duality on large weighted Bergman spaces
- Asymptotic behavior of eigenvalues of Toeplitz operators on the weighted analytic spaces
- Integral operators, embedding theorems and a Littlewood-Paley formula on weighted Fock spaces
- Some spectral properties of the canonical solution operator to \(\overline{\partial}\) on weighted Fock spaces
- Embedding theorems and integration operators on Bergman spaces with rapidly decreasing weights
- Sampling and interpolation in large Bergman and Fock spaces
- Pointwise estimates for the weighted Bergman projection kernel in \({\mathbb C}^n\), using a weighted \(L^2\) estimate for the \(\bar\partial\) equation
- Interpolating and sampling sequences for entire functions
- Boundedness of the Bergman projection on \(L^p\)-spaces with exponential weights
- Mean oscillation and Hankel operators on the Segal--Bargmann space
- Carleson's imbedding theorem for a weighted Bergman space
- Hankel operators on the weighted Bergman spaces with exponential type weights
- Trace ideal criteria for Toeplitz and Hankel operators on the weighted Bergman spaces with exponential type weights
- Pointwise estimate for the Bergman kernel of the weighted Bergman spaces with exponential type weights
- Schatten class Toeplitz operators acting on large weighted Bergman spaces
- Volterra type operators on Bergman spaces with exponential weights
- $C^\infty$ approximations of convex, subharmonic, and plurisubharmonic functions
- Hankel operators on large weighted Bergman spaces
- On the boundedness of Bergman projection
- Embedding theorems for weighted classes of harmonic and analytic functions
- Notions of convexity