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Singular Measures and (1,p)-Capacity on Weighted Sobolev Classes

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Abstract

Conditions are studied under which the contribution of the singular part of a measure to the (1,p)-capacity of an arbitrary condenser is zero.

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References

  1. Prokhorov D. V. and Stepanov V. D., “On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis,” Sibirsk. Mat. Zh., 43, No. 4, 864–878 (2002).

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk

    A. S. Romanov

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  1. A. S. Romanov
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Romanov, A.S. Singular Measures and (1,p)-Capacity on Weighted Sobolev Classes. Siberian Mathematical Journal 44, 346–349 (2003). https://doi.org/10.1023/A:1022997107307

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  • DOI: https://doi.org/10.1023/A:1022997107307

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