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Iterated Littlewood-Paley functions and a multiplier theorem

Iterated Littlewood-Paley functions and a multiplier theorem

A sufficient condition for a bounded function to be a multiplier of Fourier transforms on <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Superscript p Baseline left-parenthesis upper R Superscript n Baseline right-parenthesis comma 1 greater-than p greater-than normal infinity"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msup> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mrow …