@article{oai:nagaokaut.repo.nii.ac.jp:00000514,
 author = {小林, 昇治},
 journal = {長岡技術科学大学研究報告},
 month = {Oct},
 note = {For every analystic function f in the unit disc U with f(0) = 0, the inequality ||f||\_4_\lessthan equal\(1/\Pi\integral\integral\_U_|f’(z)|^2^dxdy)\^1/2^ is proved. As as corollary it is shown that if h\_4_(z) denotes the least harmonic majorant of |z|\^4^ in a simply-connected domain D in the complex plane with 0 \belongs to\D, then the inequality h\_4_(0)\lessthan equal \(1/\Pi\area(D)) \^1/2^holds. This gives a partially affirmative answer to a conjecture presented by M. Sakai.},
 pages = {83--86},
 title = {Dirichlet Integrals and H__4 Norms of Analytic Funcions},
 volume = {11},
 year = {1989}
}