A bounded analytic function in the unit disk with a level set component of infinite length
A bounded analytic function in the unit disk with a level set component of infinite length
The authors construct a bounded analytic function in the unit disk with a level set component of infinite length. The example is of the form <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="exp i upper B left-parenthesis z right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>exp</mml:mi> <mml:mo><!-- --></mml:mo> <mml:mi>i</mml:mi> <mml:mi>B</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>z</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> …