Title of article :
On a problem of Eidelheit from The Scottish Book concerning absolutely continuous functions
Author/Authors :
Maligranda، نويسنده , , Lech and Mykhaylyuk، نويسنده , , Volodymyr V. and Plichko، نويسنده , , Anatolij، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2011
Abstract :
A negative solution of Problem 188 posed by Max Eidelheit in the Scottish Book concerning superpositions of separately absolutely continuous functions is presented. We discuss here this and some related problems which have also negative solutions. Finally, we give an explanation of such negative answers from the “embeddings of Banach spaces” point of view.
Keywords :
Beppo Levi spaces , sobolev spaces , Strictly singular embeddings , Absolutely continuous functions of two variables , Lipschitz functions , Superstrictly singular embeddings , Superpositions , Absolutely continuous functions , Embeddings , Rearrangement invariant spaces
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
