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On a classification of plane domains for Hardy classes

On a classification of plane domains for Hardy classes

For every positive nubmer <italic>p</italic>, let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper O Subscript p"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>O</mml:mi> <mml:mi>p</mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{O_p}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> denote the class of plane domains <italic>W</italic> for which the Hardy class <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper H Subscript p Baseline left-parenthesis upper …