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|Title:||Complex symmetric weighted composition operators on H γ ( D )||Authors:||Lim, Renon
Khoi, Le Hai
|Issue Date:||2018||Source:||Lim, R., & Khoi, L. H. (2018). Complex symmetric weighted composition operators on H γ ( D ) . Journal of Mathematical Analysis and Applications, 464(1), 101-118. doi:10.1016/j.jmaa.2018.03.071||Series/Report no.:||Journal of Mathematical Analysis and Applications||Abstract:||We study the complex symmetric structure of weighted composition operators of the form Wψ,ϕ on the Hilbert space Hγ(D) of holomorphic functions over the open unit disk D with reproducing kernels K(γ) w = (1 − wz)−γ, where γ ∈ N. First, we consider conjugations on Hγ(D) of the form Au,vf = u·f ◦ v (such conjugations are also known as weighted composition conjugations) and characterize them into two classes, denoted by C1 and C2. Then, we obtain explicit conditions for Wψ,ϕ when it is C1-symmetric and C2-symmetric respectively||URI:||https://hdl.handle.net/10356/107599
|ISSN:||0022-247X||DOI:||10.1016/j.jmaa.2018.03.071||Rights:||© 2018 Elsevier Inc. All rights reserved. This paper was published in Journal of Mathematical Analysis and Applications and is made available with permission of Elsevier Inc.||Fulltext Permission:||open||Fulltext Availability:||With Fulltext|
|Appears in Collections:||SPMS Journal Articles|
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