2017
Том 69
№ 9

All Issues

Equivalent definition of some weighted Hardy spaces

Dilnyi V. M.

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Abstract

We present the equivalent definition for spaces of functions analytic in the half-plane ${\mathbb C}_+ = \{z: Re z > 0 \}$ for which $$\sup_{|\varphi| < \frac{\pi}2} \left\{\int\limits_0^{+\infty}\left| f(r e^{i\varphi})\right|^p e^{-p\sigma r|\sin \varphi|} dr \right\} < +\infty.$$

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 9, pp 1477-1482.

Citation Example: Dilnyi V. M. Equivalent definition of some weighted Hardy spaces // Ukr. Mat. Zh. - 2008. - 60, № 9. - pp. 1270–1274.

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