Opuscula Math. 31, no. 4 (2011), 605-614
The Fejer-Riesz type result for some weighted Hilbert spaces of analytic functions in the unit disc
Piotr Jakóbczak
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.
About the authors ▼
Piotr Jakóbczak
Politechnika Krakowska, Instytut Matematyki, ul. Warszawska 24, 31-155 Kraków, Poland; Państwowa Wyższa Szkoła Zawodowa, Instytut Pedagogiczny, Nowy Sącz, Poland
About the article ▼
Received: 2010-09-13.
Revised: 2010-11-13.
Accepted: 2010-12-01.
Cite this article as ▼
Piotr Jakóbczak, The Fejer-Riesz type result for some weighted Hilbert spaces of analytic functions in the unit disc, Opuscula Math. 31, no. 4 (2011), 605-614,
http://dx.doi.org/10.7494/OpMath.2011.31.4.605.
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