<p>We propose a revised definition of <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40879_2025_860_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(L^p\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mi>p</mi> </msup> </math></EquationSource> </InlineEquation> measures which preserves the results previously established in De Carli and Liflyand (Eur J Math 9(3):83, 2023) while significantly enlarging the class of measures to which those results apply.</p>
We propose a revised definition of \(L^p\) measures which preserves the results previously established in De Carli and Liflyand (Eur J Math 9(3):83, 2023) while significantly enlarging the class of measures to which those results apply.