# name
Hankel Bilinear Forms on Generalized Fock-Sobolev Spaces on $C^n$

# metadata.dc.description.abstract[].value
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.

# metadata.dc.relation.ispartof[].value
Annales Academiae Scientiarum Fennicae. Mathematica, 2020, vol. 45, num. 2, p. 841-862

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.subject.classification[].value
Funcions de diverses variables complexes

# metadata.dc.title[].value
Hankel Bilinear Forms on Generalized Fock-Sobolev Spaces on $C^n$