Localized frames and compactness
From MaRDI portal
Publication:301577
DOI10.1007/s00041-015-9429-7zbMath1343.42039arXiv1409.5921OpenAlexW2174065261MaRDI QIDQ301577
Mishko Mitkovski, Fawwaz Batayneh
Publication date: 30 June 2016
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.5921
Function spaces arising in harmonic analysis (42B35) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on function spaces (general) (47B38) General harmonic expansions, frames (42C15)
Related Items
On compactness of Toeplitz operators in Bergman spaces ⋮ On dual molecules and convolution-dominated operators ⋮ Invertibility of positive Toeplitz operators and associated uncertainty principle ⋮ Limit operators, compactness and essential spectra on bounded symmetric domains
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sampling and interpolation in de Branges spaces with doubling phase
- A reproducing kernel thesis for operators on Bergman-type function spaces
- Compactness characterization of operators in the Toeplitz algebra of the Fock space \(F^p_\alpha\)
- Banach spaces related to integrable group representations and their atomic decompositions. I
- The inclusion of the Schur algebra in \(B(\ell^2)\) is not inverse-closed
- On boundedness of Calderón-Toeplitz operators
- On Calderón-Toeplitz operators
- Wavelet transforms and localization operators
- Bounded symbols and reproducing kernel thesis for truncated Toeplitz operators
- Banach spaces related to integrable group representations and their atomic decompositions. II
- Continuous frames, function spaces, and the discretization problem
- Basic definition and properties of Bessel multipliers
- Time-frequency analysis of Sjöstrand's class
- Morrey and Campanato meet Besov, Lizorkin and Triebel
- Banach algebras of pseudodifferential operators and their almost diagonalization
- The Bergman space, the Bloch space, and commutators of multiplication operators
- Toeplitz and Hankel operators on the Paley-Wiener space
- Compact Toeplitz operators via the Berezin transform on bounded symmetric domains
- Modulation spaces and pseudodifferential operators
- Time-frequency analysis of localization operators.
- Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains
- On the Faraut-Koranyi hypergeometric functions in rank two.
- Continuous frames in Hilbert space
- Localization of frames, Banach frames, and the invertibility of the frame operator
- The reproducing kernel thesis for Toeplitz operators on the Paley--Wiener space
- Localization and Berezin transform on the Fock space
- The essential norm of operators on \({A^p_\alpha(\mathbb{B}_n)}\)
- Time-frequency localization operators and a Berezin transform
- Toeplitz operators and group representations
- Axler-Zheng type theorem on a class of domains in \(\mathbb C^n\)
- Density, overcompleteness, and localization of frames. II: Gabor systems
- Density, overcompleteness, and localization of frames. I: Theory
- Function spaces and reproducing kernels on bounded symmetric domains
- Discrete decompositions for bilinear operators and almost diagonal conditions
- Analysis on Fock Spaces
- Multipliers for continuous frames in Hilbert spaces
- Localization and compactness in Bergman and Fock spaces
- Molecules in coorbit spaces and boundedness of operators
- Localizable operators and the construction of localized frames
- Transforms associated to square integrable group representations. I. General results
- Function Theory on Cartan Domains and the Berezin-Toeplitz Symbol Calculus
- Boundedness results for operators with singular kernels on distribution spaces
- QUANTIZATION
- QUANTIZATION IN COMPLEX SYMMETRIC SPACES
- Compact operators via the Berezin transform
- Anti-Wick quantization with symbols in $L^p$ spaces
- Hyperbolic groups have finite asymptotic dimension
- Berezin Quantization and Reproducing Kernels on Complex Domains
- Compactness and essential norm properties of operators on generalized Fock spaces
- Necessary conditions for Schatten class localization operators
- The essential norm of operators in the Toeplitz algebra on $A^p(B_n)$
- Pseudodifferential operators on locally compact abelian groups and Sjöstrand's symbol class