FRACTIONAL FOCK–SOBOLEV SPACES
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Publication:5214084
DOI10.1017/NMJ.2018.11zbMath1442.32012OpenAlexW2793482517MaRDI QIDQ5214084
Publication date: 7 February 2020
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/nmj.2018.11
Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)
Related Items (5)
Boundedness criterion for integral operators on the fractional Fock-Sobolev spaces ⋮ Commuting Toeplitz operators on Fock-Sobolev spaces of negative orders ⋮ Unnamed Item ⋮ Explicit formula for the reproducing kernels for some weighted Fock spaces ⋮ New characterizations for the weighted Fock spaces
Cites Work
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- Schatten-class generalized Volterra companion integral operators
- Linear combinations of composition operators on the Fock-Sobolev spaces
- Toeplitz operators on Fock-Sobolev spaces with positive measure symbols
- Fock-Sobolev spaces of fractional order
- Holomorphic Sobolev spaces and the generalized Segal-Bargmann transform
- Sobolev spaces associated to the harmonic oscillator
- On trace ideal weighted composition operators on weighted Fock spaces
- Holomorphic Sobolev spaces, Hermite and special Hermite semigroups and a Paley-Wiener theorem for the windowed Fourier transform
- Fock-Sobolev spaces and their Carleson measures
- Volterra type and weighted composition operators on weighted Fock spaces
- Commutants of Toeplitz operators with radial symbols on the Fock-Sobolev space
- Boundedness of the Segal-Bargmann transform on fractional Hermite-Sobolev spaces
- Analysis on Fock Spaces
- Theory of Reproducing Kernels
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