On integral means of the derivatives of Blaschke products

Yasuhiro Gotoh

doi:10.2996/kmj/1175287629

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Home > Journals > Kodai Math. J. > Volume 30 > Issue 1 > Article

March 2007 On integral means of the derivatives of Blaschke products

Yasuhiro Gotoh

Kodai Math. J. 30(1): 147-155 (March 2007). DOI: 10.2996/kmj/1175287629

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Abstract

Kutbi and Protas showed that if the zeros {a_k} of a given Blaschke product B satisfy Σ_k (1 - |a_k|)^α < ∞ for some α $\in$ (0, 1), then the integral means of its derivative B⁽ⁿ⁾ satisfies certain estimate. In this paper, we extend their result.

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Yasuhiro Gotoh. "On integral means of the derivatives of Blaschke products." Kodai Math. J. 30 (1) 147 - 155, March 2007. https://doi.org/10.2996/kmj/1175287629