15 citations · 24 across the 12 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.FA2011★ 5 cited
Characterization of traces of smooth functions on Ahlfors regular sets
Lizaveta Ihnatsyeva, Antti V. Vähäkangas
We extend the results of P. Shvartsman on characterizing the traces of Besov and Triebel-Lizorkin spaces on Ahlfors -regular sets to the case of -regular sets, . The…
math.FA2011★ 2 cited
Smoothness spaces of higher order on lower dimensional subsets of the Euclidean space
Lizaveta Ihnatsyeva, Riikka Korte
We study Sobolev type spaces defined in terms of sharp maximal functions on Ahlfors regular subsets of the Euclidean space and the relation between these spaces and traces of class…