Equivalent definition of some weighted Hardy spaces

  • V. M. Dilnyi Львiв. нац. ун-т; Дрогобиц. держ. пед. ун-т

Abstract

We present the equivalent definition for spaces of functions analytic in the half-plane ${\mathbb C}_+ = \{z: Re z > 0 \}$ for which $$\sup_{|\varphi| < \frac{\pi}2} \left\{\int\limits_0^{+\infty}\left| f(r e^{i\varphi})\right|^p e^{-p\sigma r|\sin \varphi|} dr \right\} < +\infty.$$
Published
25.09.2008
How to Cite
Dilnyi, V. M. “Equivalent Definition of Some Weighted Hardy Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 9, Sept. 2008, pp. 1270–1274, https://umj.imath.kiev.ua/index.php/umj/article/view/3241.
Section
Short communications