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Hankel Bilinear Forms on Generalized Fock-Sobolev Spaces on $C^n$ Cascante, Ma. Carme (Maria Carme) Fàbrega Casamitjana, Joan Pascuas Tijero, Daniel Funcions de diverses variables complexes Espais analítics Funcions holomorfes Teoria d'operadors Functions of several complex variables Analytic spaces Holomorphic functions Operator theory 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. 2023-02-08T18:52:22Z 2023-02-08T18:52:22Z 2020 2023-02-08T18:52:22Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Reproducció del document publicat a: https://doi.org/10.5186/aasfm.2020.4546 Annales Academiae Scientiarum Fennicae. Mathematica, 2020, vol. 45, num. 2, p. 841-862 https://doi.org/10.5186/aasfm.2020.4546 (c) Academia Scientiarum Fennica, 2020 info:eu-repo/semantics/openAccess Academia Scientiarum Fennica Articles publicats en revistes (Matemàtiques i Informàtica)