The non-existence of the Fejer‒Riesz type result for some weighted Bergman spaces in the unit disc

Piotr Jakóbczak

Abstrakt

In this note, we consider the analogues of the classical Fejer‒Riesz inequality for some weighted
Hilbert spaces of analytic functions in the unit disc. We prove that for some class of such spaces,
the Fejer-Riesz inequality type results do not hold.

Słowa kluczowe: Fejer-Riesz inequality, Bergman spaces of analytic functions
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