@article{Dilnyi_2008, title={Equivalent definition of some weighted Hardy spaces}, volume={60}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3241}, abstractNote={We present the equivalent definition for spaces of functions analytic in the half-plane ${\mathbb C}_+ = \{z: Re z &gt; 0 \}$ for which $$\sup_{|\varphi| < \frac{\pi}2} \left\{\int\limits_0^{+\infty}\left| f(r e^{i\varphi})\right|^p e^{-p\sigma r|\sin \varphi|} dr \right\} &lt; +\infty.$$ }, number={9}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Dilnyi, V. M.}, year={2008}, month={Sep.}, pages={1270–1274} }