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http://hdl.handle.net/10397/89032
Title: | Hilbert-schmidtness of weighted composition operators and their differences on Hardy spaces | Authors: | Lo, C Loh, AWK Cojuhari, PA |
Issue Date: | 2020 | Source: | Opuscula mathematica, 2020, v. 40, no. 4, p. 495-507 | Abstract: | Let u and φ be two analytic functions on the unit disk D such that φ(D) ⊂ D. A weighted composition operator uCφ induced by u and φ is defined on H2, the Hardy space of D, by uCφf := u • f φ for every f in H2. We obtain sufficient conditions for Hilbert-Schmidtness of uCφ on H2 in terms of function-theoretic properties of u and φ. Moreover, we characterize Hilbert-Schmidt difference of two weighted composition operators on H2. | Keywords: | Compact operators Hardy spaces Hilbert-Schmidt operators Weighted composition operators |
Publisher: | Wydawnictwo A G H | Journal: | Opuscula mathematica | ISSN: | 1232-9274 | DOI: | 10.7494/OpMath.2020.40.4.495 | Rights: | © 2020 Authors. Creative Commons CC-BY 4.0 (https://creativecommons.org/licenses/by/4.0/) The following publication Lo, C. O., & Loh, A. W. K. (2020). Hilbert-Schmidtness of weighted composition operators and their differences on Hardy spaces. Opuscula Mathematica, 40(4), 495-507, is available at https://doi.org/10.7494/OpMath.2020.40.4.495 |
Appears in Collections: | Journal/Magazine Article |
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