@article{Savchuk_2021, title={$H^2$ - norms of the partial sums of Fourier series by Laguerre basis for bounded holomorphic functions}, volume={73}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/2371}, DOI={10.37863/umzh.v73i1.2371}, abstractNote={<p>UDC 517.5</p> <p>We compute the upper bounds for $H^2$-norms of the partial sums of Fourier series with respect to the Laguerre basis on the unit ball in the space of bounded holomorphic functions on the unit disk. <br>We give an application of the main result to the solving of some extremal problems of the theory of approximation of holomorphic functions.</p>}, number={1}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Savchuk , V. V.}, year={2021}, month={Jan.}, pages={128 - 137} }