Fock-Sobolev Spaces and Weighted Composition Operators among Them

Fock-Sobolev Spaces and Weighted Composition Operators among Them

Year:    2016

Author:    He Li, Guangfu Cao

Communications in Mathematical Research , Vol. 32 (2016), Iss. 4 : pp. 303–318

Abstract

We characterize the boundedness and compactness of weighted composition operators among some Fock-Sobolev spaces. We also estimate the norm and essential norm of these operators. Furthermore, we discuss the duality spaces of Fock-Sobolev spaces $\mathcal{F}^{p,m}_s$ when $0 < p < ∞$.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2016.04.02

Communications in Mathematical Research , Vol. 32 (2016), Iss. 4 : pp. 303–318

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Fock-Sobolev space dual space weighted composition operator.

Author Details

He Li

Guangfu Cao