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A multiplier theorem for analytic functions of slow mean growth

A multiplier theorem for analytic functions of slow mean growth

Multipliers into <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="l Superscript q"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>l</mml:mi> <mml:mi>q</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{l^q}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> spaces are characterized for certain spaces of functions analytic in the unit disk whose <italic>p</italic>-means <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis 0 greater-than p less-than-or-slanted-equals 1 right-parenthesis"> <mml:semantics> <mml:mrow> …