Regularity of certain small subharmonic functions
Regularity of certain small subharmonic functions
Suppose that <italic>u</italic> is subharmonic in the plane and that <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="limit Underscript bar Endscripts Underscript r right-arrow normal infinity Endscripts upper B left-parenthesis r right-parenthesis slash left-parenthesis log r right-parenthesis squared equals sigma greater-than normal infinity"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:munder> <mml:mo form="prefix">lim</mml:mo> <mml:mo>_<!-- _ …