Estimates for capacities and traces of potentials
It is shown that isoperimetric inequalities, relating measures and capacities, hold for all sets in ℝn if they are valid for all balls. As a corollary, the necessary and sufficient conditions for the continuity of some imbeddings of M. Riesz and Bessel potential spaces are obtained. The introduction...
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Main Authors: | V. G. Maz'ja, S. P. Preobrazenskii |
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Format: | Article |
Language: | English |
Published: |
Wiley
1984-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171284000053 |
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