Opuscula Math. 31, no. 4 (2011), 605-614
http://dx.doi.org/10.7494/OpMath.2011.31.4.605
Opuscula Mathematica
The Fejer-Riesz type result for some weighted Hilbert spaces of analytic functions in the unit disc
Abstract. In this note we prove Fejer-Riesz inequality type results for some weighted Hilbert spaces of analytic functions in the unit disc. We describe also a class of such spaces for which Fejer-Riesz inequality type results do not hold.
Keywords: Fejer-Riesz inequality, Hilbert spaces of analytic functions.
Mathematics Subject Classification: 30H10, 30H20, 30H99.
- Piotr Jakóbczak
- Politechnika Krakowska, Instytut Matematyki, ul. Warszawska 24, 31-155 Kraków, Poland
- Państwowa Wyższa Szkoła Zawodowa, Instytut Pedagogiczny, Nowy Sącz, Poland
- Received: 2010-09-13.
- Revised: 2010-11-13.
- Accepted: 2010-12-01.
