Boundary vs. interior conditions associated with weighted composition operators

• Autorzy: Kei Izuchi , Yuko Izuchi , Shûichi Ohno
• Języki publikacji: EN

Abstrakty

EN

Associated with some properties of weighted composition operators on the spaces of bounded harmonic and analytic functions on the open unit disk $$\mathbb{D}$$, we obtain conditions in terms of behavior of weight functions and analytic self-maps on the interior $$\mathbb{D}$$ and on the boundary $$\partial \mathbb{D}$$ respectively. We give direct proofs of the equivalence of these interior and boundary conditions. Furthermore we give another proof of the estimate for the essential norm of the difference of weighted composition operators.

Słowa kluczowe

EN

Weighted composition operator; The space of bounded harmonic functions; The space of bounded analytic functions; Essential norm

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 30H10: Hardy spaces

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 5
• Strony: 761-777

Daty

wydano

2014-05-01

online

2014-02-15

Twórcy

autor

Kei Izuchi

• Niigata University

autor

Yuko Izuchi

• Aoyama-shinmachi 18-6-301

autor

Shûichi Ohno

• Nippon Institute of Technology

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0377-7