A weighted Poincaré inequality with a doubling weight
A weighted Poincaré inequality with a doubling weight
We show that unbounded John domains (and even a larger class of domains than John domains) satisfy the weighted Poincaré inequality <disp-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="inf Underscript a element-of double-struck upper R Endscripts double-vertical-bar u left-parenthesis x right-parenthesis minus a double-vertical-bar Subscript upper L Sub Superscript q Subscript left-parenthesis upper …