Volume 32, Issue 4
Fock-Sobolev Spaces and Weighted Composition Operators among Them

Commun. Math. Res., 32 (2016), pp. 303-318.

Published online: 2021-05

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• 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 $0 < p < ∞$.

• Keywords

Fock-Sobolev space, dual space, weighted composition operator.

32C37, 47B33, 47A30

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@Article{CMR-32-303, author = {He and Li and and 18569 and and He Li and Guangfu and Cao and and 18570 and and Guangfu Cao}, title = {Fock-Sobolev Spaces and Weighted Composition Operators among Them}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {32}, number = {4}, pages = {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 $0 < p < ∞$.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2016.04.02}, url = {http://global-sci.org/intro/article_detail/cmr/18902.html} }
TY - JOUR T1 - Fock-Sobolev Spaces and Weighted Composition Operators among Them AU - Li , He AU - Cao , Guangfu JO - Communications in Mathematical Research VL - 4 SP - 303 EP - 318 PY - 2021 DA - 2021/05 SN - 32 DO - http://doi.org/10.13447/j.1674-5647.2016.04.02 UR - https://global-sci.org/intro/article_detail/cmr/18902.html KW - Fock-Sobolev space, dual space, weighted composition operator. AB -

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 $0 < p < ∞$.

Li He & Guangfu Cao. (2021). Fock-Sobolev Spaces and Weighted Composition Operators among Them. Communications in Mathematical Research . 32 (4). 303-318. doi:10.13447/j.1674-5647.2016.04.02
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