Fock-Sobolev spaces and their Carleson measures
From MaRDI portal
Publication:1760166
DOI10.1016/j.jfa.2012.08.003zbMath1264.46017arXiv1212.0737OpenAlexW2964114525MaRDI QIDQ1760166
Publication date: 13 November 2012
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.0737
dualityreproducing kernelFock spaceCarleson measureGaussian measurecomplex interpolationFock-Sobolev space
Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Bergman spaces and Fock spaces (30H20)
Related Items
Unitary, self-adjoint and ᵊ5-symmetric weighted composition operators on Fock-Sobolev spaces ⋮ Schatten-class generalized Volterra companion integral operators ⋮ \(\bar{\partial}\)-equation look at analytic Hilbert's zero-locus theorem ⋮ Integral operators, embedding theorems and a Littlewood-Paley formula on weighted Fock spaces ⋮ Commuting Toeplitz operators on the Fock-Sobolev space ⋮ Schatten class Hankel operators on the Segal-Bargmann space and the Berger-Coburn phenomenon ⋮ Gleason's problem on Fock-Sobolev spaces ⋮ Unnamed Item ⋮ Integral operators on Fock-Sobolev spaces via multipliers on Gauss-Sobolev spaces ⋮ Boundedness of the Segal-Bargmann transform on fractional Hermite-Sobolev spaces ⋮ Semi-commuting Toeplitz operators on Fock-Sobolev spaces ⋮ Sub-Hilbert relation for Fock-Sobolev type spaces ⋮ Mixed product of Hankel and Toeplitz operators on Fock-Sobolev spaces ⋮ Composition operators between weighted Fock spaces ⋮ Limit operators techniques on general metric measure spaces of bounded geometry ⋮ A note on the differential operator on generalized Fock spaces ⋮ Schatten-Herz classes of Toeplitz operators on the generalized Fock space ⋮ On the spectrum of Volterra-type integral operators on Fock-Sobolev spaces ⋮ Hankel operators between different doubling Fock spaces ⋮ Schatten class Toeplitz operators on generalized Fock spaces ⋮ Toeplitz operators on Fock spaces \(F^p(\varphi)\) ⋮ On trace ideal weighted composition operators on weighted Fock spaces ⋮ Reverse Carleson measures on generalized Fock spaces ⋮ Composition operators on weighted Fock spaces induced by \(A_{\infty}\)-type weights ⋮ Sub-Hilbert spaces in Fock-Sobolev spaces on \(\mathbb{C}^n\) ⋮ IDA and Hankel operators on Fock spaces ⋮ Zero sums of dual Toeplitz products on the orthogonal complements of the polyanalytic Fock space ⋮ Hankel bilinear forms on generalized Fock–Sobolev spaces on C^n ⋮ Localization and compactness of operators on Fock spaces ⋮ Volterra type and weighted composition operators on weighted Fock spaces ⋮ Littlewood-Paley formulas and Carleson measures for weighted Fock spaces induced by \(A_{\infty}\)-type weights ⋮ Toeplitz operators defined by sesquilinear forms: Fock space case ⋮ Fredholm theory of Toeplitz operators on doubling Fock Hilbert spaces ⋮ Linear combinations of composition operators on the Fock-Sobolev spaces ⋮ Toeplitz operators on Fock-Sobolev spaces with positive measure symbols ⋮ Gaussian integral means of entire functions ⋮ BMO and Hankel operators on Fock-type spaces ⋮ Fock-Sobolev spaces of fractional order ⋮ Fock space on \(\mathbb{C}^\infty\) and Bose-Fock space ⋮ Unnamed Item ⋮ Associated weights for spaces ofp-integrable entire functions ⋮ Sarason's Toeplitz product problem on the Fock-Sobolev space ⋮ Analytical and numerical approximation formulas on the Dunkl-type Fock spaces ⋮ Positive Toeplitz operators between different doubling Fock spaces ⋮ Explicit formula for the reproducing kernels for some weighted Fock spaces ⋮ Banach space structure of weighted Fock-Sobolev spaces ⋮ Carleson measures and Toeplitz operators on doubling Fock spaces ⋮ Products of Toeplitz operators on the Fock space ⋮ Atomic decomposition for the harmonic Fock spaces in the plane ⋮ Carleson measures for harmonic Fock spaces in the plane ⋮ Carleson type measures for Fock-Sobolev spaces ⋮ A class of integral operators and the Fock space ⋮ FRACTIONAL FOCK–SOBOLEV SPACES ⋮ Microscopic densities and Fock-Sobolev spaces ⋮ A norm equivalence for the mixed norm of Fock type ⋮ A Sobolev norm equivalence on Fock-type spaces with a mixed norm ⋮ Composition operators and Gleason's problem on weighted Fock spaces ⋮ Convexities of Gaussian integral means and weighted integral means for analytic functions ⋮ Atomic decomposition and duality for a class of Fock spaces ⋮ Fredholm Toeplitz operators on doubling Fock spaces ⋮ Multi-valued weighted composition operators on Fock space ⋮ A Volterra-type integration operator on Fock spaces ⋮ Hilbert-type operators acting between weighted Fock spaces ⋮ Products of Toeplitz and Hankel operators on Fock-Sobolev spaces ⋮ Linear differential equations with solutions lying in weighted Fock spaces ⋮ Commutants of Toeplitz operators with radial symbols on the Fock-Sobolev space ⋮ Toeplitz operators on Fock-Sobolev type spaces ⋮ Singular integral operators on the Fock space ⋮ Schatten-\(p\) class (\(0 < p \leq \infty\)) Toeplitz operators on generalized Fock spaces ⋮ Pseudo-Carleson measures for Fock spaces ⋮ Toeplitz operators with \(\text{IMO}^s\) symbols between generalized Fock spaces ⋮ Positive Toeplitz operators between different Fock-Sobolev type spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear combinations of composition operators on the Fock-Sobolev spaces
- Duality in Segal-Bargmann spaces
- Holomorphic Sobolev spaces and the generalized Segal-Bargmann transform
- Hankel forms and the Fock space
- Toeplitz operators on the Fock space
- Holomorphic Sobolev spaces associated to compact symmetric spaces
- Interpolations by bounded analytic functions and the corona problem
- Analysis on Fock Spaces
- Toeplitz Operators on the Segal-Bargmann Space
- Interpolation of Operators with Change of Measures
- On a Hilbert space of analytic functions and an associated integral transform part I
- Heat Flow and Berezin-Toeplitz Estimates
- Toeplitz operators and quantum mechanics
