83 citations · 183 across the 10 of their papers we have counts for
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math.CA2013★ 15 cited
Fractional Hardy inequalities and visibility of the boundary
Lizaveta Ihnatsyeva, Juha Lehrbäck, Heli Tuominen +1
We prove fractional order Hardy inequalities on open sets under a combined fatness and visibility condition on the boundary. We demonstrate by counterexamples that fatness conditio…
math.FA2013★ 16 cited
Fractional maximal functions in metric measure spaces
Toni Heikkinen, Juha Lehrbäck, Juho Nuutinen +1
We study the mapping properties of fractional maximal operators in Sobolev and Campanato spaces in metric measure spaces. We show that, under certain restrictions on the underlying…