83 citations · 183 across the 10 of their papers we have counts for
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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…
math.MG2012★ 83 cited
Dimensions, Whitney covers, and tubular neighborhoods
Antti Käenmäki, Juha Lehrbäck, Matti Vuorinen
Working in doubling metric spaces, we examine the connections between different dimensions, Whitney covers, and geometrical properties of tubular neighborhoods. In the Euclidean sp…