Pointwise in terms of weak convergence
Pointwise in terms of weak convergence
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis normal upper Omega comma German upper F comma mu right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi mathvariant="normal">Ω<!-- Ω --></mml:mi> <mml:mo>,</mml:mo> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="fraktur">F</mml:mi> </mml:mrow> <mml:mo>,</mml:mo> <mml:mi>μ<!-- μ --></mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">(\Omega ,\mathfrak {F},\mu )</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be a measure space, <inline-formula …