2026-04-13T07:17:08Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/1932932025-12-05T09:57:25Zcom_2072_1057col_2072_478917col_2072_478920

00925njm 22002777a 4500 dc Cascante, Ma. Carme (Maria Carme) author Fàbrega Casamitjana, Joan author Pascuas Tijero, Daniel author 2023-02-08T18:52:22Z 2023-02-08T18:52:22Z 2020 2023-02-08T18:52:22Z 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. 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 $C^n$