83 citations · 183 across the 10 of their papers we have counts for
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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…
math.FA2012★ 4 cited
Quasiadditivity of variational capacity
Juha Lehrbäck, Nageswari Shanmugalingam
We study the quasiadditivity property (a version of superadditivity with a multiplicative constant) of variational capacity in metric spaces with respect to Whitney type covers. We…
math.FA2012★ 16 cited
Weighted Hardy inequalities beyond Lipschitz domains
Juha Lehrbäck
It is a well-known fact that in a Lipschitz domain Ω\subset R^n a p-Hardy inequality, with weight d(x,\partialΩ)^β, holds for all u\in C_0^\infty(Ω) whenever β<p-1. We show that ac…