Resumen de How to Recognize Polynomials in Higher Order Sobolev Spaces

Bogdan Bojarski, Lizaveta Ihnatsyeva, Juha Kinnunen

• This paper extends characterizations of Sobolev spaces by Bourgain, Brézis, and Mironescu to the higher order case. As a byproduct, we obtain an integral condition for the Taylor remainder term, which implies that the function is a polynomial. Similar questions are also considered in the context of Whitney jets.