Hilbert-Schmidtness of weighted composition operators and their differences on Hardy spaces

• Autorzy: Lo Ching-on , Loh Anthony Wai-keung

Identyfikatory

DOI

10.7494/OpMath.2020.40.4.495

• Języki publikacji: EN

Abstrakty

EN

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 [formula] for every ∫ in H2. We obtain sufficient conditions for Hilbert-Schmidtness of v,Cv 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.

Słowa kluczowe

EN

weighted composition operators; Hardy spaces; compact operators; Hilbert-Schmidt operators

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2020
• Tom: Vol. 40, no. 4
• Strony: 495--507
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Lo Ching-on

• Division of Science, Engineering and Health Studies College of Professional and Continuing Education The Hong Kong Polytechnic University

autor

Loh Anthony Wai-keung

• Division of Science, Engineering and Health Studies College of Professional and Continuing Education The Hong Kong Polytechnic University

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).