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General páley problem

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Abstract

In the class of functionsu of finite lower order subharmonic in ℝp+2,p ∈ ℕ we establish an exact upper bound for

$$\mathop {\lim }\limits_{r \to \infty } \inf \frac{{m_q (r,u^ + )}}{{T(r,u)}}, 1< q \le \infty ,$$

whereT(r, u) is a Nevanlinna characteristic of the functionu andm q (r, u +) is the integralq-mean of the functionu +,u + = max(u,0), on the sphere of radiusr.

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Authors
  1. Ya. V. Vasyl’kiv
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  2. A. A. Kondratyuk
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  3. S. I. Tarasyuk
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Vasyl’kiv, Y.V., Kondratyuk, A.A. & Tarasyuk, S.I. General páley problem. Ukr Math J 48, 27–37 (1996). https://doi.org/10.1007/BF02390980

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  • DOI: https://doi.org/10.1007/BF02390980

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