Pointwise differentiability and absolute continuity
Pointwise differentiability and absolute continuity
This paper is concerned with the relationships between <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 and Sobolev functions. It is shown that if <italic>f</italic> is a Sobolev function with weak derivatives up to order <italic>k</italic> …