- Tytuł:
- Hilbert-Schmidtness of weighted composition operators and their differences on Hardy spaces
- Autorzy:
-
Lo, Ching-on
Loh, Anthony Wai-keung - Powiązania:
- https://bibliotekanauki.pl/articles/255723.pdf
- Data publikacji:
- 2020
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
weighted composition operators
Hardy spaces
compact operators
Hilbert-Schmidt operators - Opis:
- 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.
- Źródło:
-
Opuscula Mathematica; 2020, 40, 4; 495-507
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł