The Dirichlet norm and the norm of Szegő type
The Dirichlet norm and the norm of Szegő type
Let <italic>S</italic> be a smoothly bounded region in the complex plane. Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="g left-parenthesis z comma t right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>g</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>z</mml:mi> <mml:mo>,</mml:mo> <mml:mi>t</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">g(z,t)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> denote the Green’s function of <italic>S</italic> with pole at <italic>t</italic>. We show …