Results 31 to 40 of about 82 (66)

The Douglas question on the Bergman and Fock spaces

open access: yes
17 ...
Chen, Jian-hua   +2 more
openaire   +2 more sources

Localization operators on Bergman and Fock spaces

open access: yes
We introduce localization operators on weighted Bergman and Fock spaces and show that, under a natural scaling of symbols and window functions, localization operators on the weighted Bergman space $A_{βr^2}^2$ converge, in the weak sense, to localization operators on the Fock space $F_β^2$ as $r\to\infty$.
Ma, Pan   +3 more
openaire   +2 more sources

Arising of Bergman reproducing kernel in Bose-Fock space

open access: yesProyecciones (Antofagasta), 2018
We introduce a Bose-Fock space A (Dd) of anti-holomorphic complex-valued functions on the unit polydisc Dd in Cd, with d ? NU {?}.A unitary isomorphism U from the abstract Bose-Fock space ?H to A ( Dd) is produced, and it is shown that U transforms twisted coherent vectors into Bergman kernels in Dd.
openaire   +2 more sources

Dual Toeplitz operators on the weighted Fock spaces

open access: yes四川大学学报. 自然科学版
With the successful characterization of the semi-commutativity of dual Toeplitz operators on the orthogonal complement of the Bergman space over the unit disk, dual Toeplitz operators on the orthogonal complement of analytic function spaces have ...
CAO Guangfu, YU Siqi
doaj  

The extended eigenvalues of composition operator on Bergman space and Fock space

open access: yes
A complex scalar k is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there is a nonzero operator X such that AX=kXA. There are some solutions to the problem of computing the extended eigenvalues for composition operators induced on the Fock space and Bergman space by linear fractional transformationsof ...
openaire   +2 more sources

UEG Week 2025 Poster Presentations

open access: yes
United European Gastroenterology Journal, Volume 13, Issue S8, Page S803-S1476, October 2025.
wiley   +1 more source

UEG Week 2024 Poster Presentations

open access: yes
United European Gastroenterology Journal, Volume 12, Issue S8, Page 665-1360, October 2024.
wiley   +1 more source

Positive Berezin liminf does not imply essential positivity for radial Toeplitz operators on Bergman and Fock spaces

open access: yes
We study whether essential positivity \[ σ_{\mathrm{ess}}(T_f)\subset [0,\infty) \] of a radial Toeplitz operator on Bergman and Fock spaces can be detected from the asymptotic behavior of its Berezin transform. For bounded real-valued radial symbols on $A^2(\mathbb{D})$, Perälä and Virtanen conjectured that \[ \liminf_{|z|\to 1^-} \widetilde{f}(z)\ge ...
openaire   +2 more sources

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