Fractional Leibniz rule on the torus
Árpád Bényi, Tadahiro Oh, Tengfei Zhao
Abstract
We discuss the fractional Leibniz rule for periodic functions on the <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="d"> <mml:semantics> <mml:mi>d</mml:mi> <mml:annotation encoding="application/x-tex">d</mml:annotation> </mml:semantics> </mml:math> </inline-formula> -dimensional torus, including the endpoint cases. As an application, we present a product estimate, involving distributions of negative regularities.
Topics & Concepts
AnnotationTorusSemantics (computer science)Type (biology)Computer scienceAlgorithmMathematicsNatural language processingArtificial intelligenceProgramming languageGeometryBiologyEcologyAdvanced Mathematical Physics ProblemsMathematical Analysis and Transform MethodsSpectral Theory in Mathematical Physics