How to Recognize Polynomials in Higher Order Sobolev Spaces

Authors

  • Bogdan Bojarski
  • Lizaveta Ihnatsyeva
  • JUHA KINNUNEN JUHA KINNUNEN

DOI:

https://doi.org/10.7146/math.scand.a-15239

Abstract

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.

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Published

2013-06-01

Issue

Vol. 112 No. 2 (2013)

Section

Articles

How to Cite

[1]
B. Bojarski, L. Ihnatsyeva, and J. K. JUHA KINNUNEN, “How to Recognize Polynomials in Higher Order Sobolev Spaces”, Math. Scand., vol. 112, no. 2, pp. 161–181, Jun. 2013, doi: 10.7146/math.scand.a-15239.