A weak-type inequality of subharmonic functions
A weak-type inequality of subharmonic functions
We prove the weak-type inequality <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="lamda mu left-parenthesis u plus StartAbsoluteValue v EndAbsoluteValue greater-than-or-equal-to lamda right-parenthesis less-than-or-equal-to left-parenthesis alpha plus 2 right-parenthesis integral Underscript partial-differential upper D Endscripts u d mu"> <mml:semantics> <mml:mrow> <mml:mi>λ</mml:mi> <mml:mi>μ</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>u</mml:mi> <mml:mo>+</mml:mo> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mo stretchy="false">|</mml:mo> </mml:mrow> <mml:mi>v</mml:mi> <mml:mrow …