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Strong differentiability properties of Bessel potentials

Strong differentiability properties of Bessel potentials

This paper is concerned with the ā€œstrongā€ <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper L Subscript p"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{L_p}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> differentiability properties of Bessel potentials of order <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="alpha greater-than 0"> <mml:semantics> <mml:mrow> <mml:mi>Ī±<!-- Ī± --></mml:mi> <mml:mo>&gt;</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> ā€¦