A counterexample concerning the maximum and minimum of a subharmonic function
A counterexample concerning the maximum and minimum of a subharmonic function
For every <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="normal upper Delta greater-than 0"> <mml:semantics> <mml:mrow> <mml:mi mathvariant="normal">Δ<!-- Δ --></mml:mi> <mml:mo>></mml:mo> <mml:mn>0</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">\Delta > 0</mml:annotation> </mml:semantics> </mml:math> </inline-formula> a function <italic>u</italic> subharmonic in the plane is constructed such that <italic>u</italic> has the order <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="rho equals 1 plus …