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An addition to the -theorem for subharmonic and entire functions of zero lower order
Authors:I. E. Chyzhykov
Affiliation:Department of Mechanics and Mathematics, Lviv National University, Universytetska 1, Lviv, 79000, Ukraine
Abstract:

We obtain a sharp asymptotic relation between the infimum and the maximum on a circle of a subharmonic function of zero lower order. An example is constructed, which shows the sharpness of the relation in the class of entire functions of zero order such that $log M(r,f)/log ^2 rto+infty$, where $M(r,f)=max {vert f(z)vert: vert zvert=r}$ as $rto+infty$.

Keywords:Subharmonic function   $cospirho$-theorem   entire function   minimum modulus
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