Abstract
It is shown that the closed lattice ideals of Dirichlet spaces and of the Sobolev spacesW 1,p are those subspaces which consist of all functions which vanish on a prescribed set.
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Stollmann, P. Closed ideals in Dirichlet spaces. Potential Anal 2, 263–268 (1993). https://doi.org/10.1007/BF01048510
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DOI: https://doi.org/10.1007/BF01048510