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Hardy’s inequality and the boundary size

Pekka Koskela, Xiao Zhong

Proceedings of the American Mathematical Society · 2002 · 42 citations · 8 references

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Abstract

We establish a self-improving property of the Hardy inequality and an estimate on the size of the boundary of a domain supporting a Hardy inequality.

References

8

Quasiconformal maps in metric spaces with controlled geometry

Juha Heinonen, Pekka Koskela · Acta Mathematica · 1998 · 939 citations · Full text

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WEIGHTED SOBOLEV SPACES

W. D. Evans · Bulletin of the London Mathematical Society · 1986 · 355 citations

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On Strong Barriers and an Inequality of Hardy for Domains in R<sup> <i>n</i> </sup>

Alano Ancona · Journal of the London Mathematical Society · 1986 · 239 citations

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Uniformly fat sets

John L. Lewis · Transactions of the American Mathematical Society · 1988 · 181 citations · Full text

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Ahlfors Q -regular spaces with arbitrary Q &gt; 1 admitting weak Poincaré inequality

Tomi Laakso · Geometric and Functional Analysis · 2000 · 180 citations

, , +4