46 citations · 162 across the 32 of their papers we have counts for
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math.CA2011
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 r…
math.AP2011★ 46 cited
Regularity of sets with quasiminimal boundary surfaces in metric spaces
Juha Kinnunen, Riikka Korte, Andrew Lorent +1
This paper studies regularity of perimiter quasiminimizing sets in metric measure spaces with a doubling measure and a Poincare inequality. The main result shows that the measure t…