Ryabykh, V. G. Extremal problems for summable analytic functions. (Russian) Zbl 0622.30032 Sib. Mat. Zh. 27, No. 3(157), 212-217 (1986). Let \(A_ p\) be the space of functions analytic in the unit disc \({\mathbb{D}}\) and summable in the power p. Given a polynomial \(\omega (z)=\sum^{n}_{k=0}\omega_ kz^ k\), the author investigates the extremal function of the functional on \(A_ p:\) \[ f\mapsto \iint_{{\mathbb{D}}}f(z){\bar \omega}(z) dx dy. \] Reviewer: V.V.Peller Cited in 2 ReviewsCited in 8 Documents MSC: 30D55 \(H^p\)-classes (MSC2000) Keywords:Bergman class PDFBibTeX XMLCite \textit{V. G. Ryabykh}, Sib. Mat. Zh. 27, No. 3(157), 212--217 (1986; Zbl 0622.30032) Full Text: EuDML