Bloch-to-Hardy composition operators

• Autorzy: Evgueni Doubtsov , Andrei Petrov
• Języki publikacji: EN

Abstrakty

EN

Let φ be a holomorphic mapping between complex unit balls. We characterize those regular φ for which the composition operators C φ: f ↦ f ○ φ map the Bloch space into the Hardy space.

Słowa kluczowe

EN

Bloch space; Composition operator; Hyperbolic Hardy class

Kategorie tematyczne

• 32A18: Bloch functions, normal functions
• 32A35: H p -spaces, Nevanlinna spaces
• 47B33: Composition operators

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 6
• Strony: 985-1003

Daty

wydano

2013-06-01

online

2013-03-28

Twórcy

autor

Evgueni Doubtsov

• St. Petersburg Department of V.A. Steklov Mathematical Institute, Fontanka 27, St. Petersburg, 191023, Russia

autor

Andrei Petrov

• Department of Mathematics, St. Petersburg State University of Architecture and Civil Engineering, 2nd Krasnoarmeiskaya Str. 4, St. Petersburg, 190005, Russia

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0229-5