2026-04-17T17:02:51Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/1932932025-12-05T09:57:25Zcom_2072_1057col_2072_478917col_2072_478920
RECERCAT
author
Cascante, Ma. Carme (Maria Carme)
author
Fàbrega Casamitjana, Joan
author
Pascuas Tijero, Daniel
2023-02-08T18:52:22Z2023-02-08T18:52:22Z20202023-02-08T18:52:22Z
We characterize the boundedness of Hankel bilinear forms on a product of generalized Fock-Sobolev spaces on $\mathbf{C}^n$ with respect to the weight $(1+|z|)^p e^{-\frac{\rho}{2}|*|^{2 t}}$, for $\ell \geq 1, \alpha>0$ and $\rho \in \mathbf{R}$. We obtain a weak decomposition of the Bergman kernel with estimates and a LittlewoodPaley formula, which are key ingredients in the proof of our main results. As an application, we characterize the boundedness, compactness and the membership in the Schatten class of small Hankel operators on these spaces.
(c) Academia Scientiarum Fennica, 2020 info:eu-repo/semantics/openAccess
Funcions de diverses variables complexes
Espais analítics
Funcions holomorfes
Teoria d'operadors
Functions of several complex variables
Analytic spaces
Holomorphic functions
Operator theory
Hankel Bilinear Forms on Generalized Fock-Sobolev Spaces on $C^n$
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion