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On weak convergence in ๐ปยน(๐ ^{๐})
Peter W. Jones, Jean-Lin Journรฉ
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Source: Crossref
Published: Jan 1, 1994
DOI: 10.1090/s0002-9939-1994-1159172-3
Open original source โSource abstract
We prove that the a.e. convergence of a sequence of functions bounded in H 1 ( R d ) {H^1}({{\mathbf {R}}^d}) to a function in L 1 ( R d ) {L^1}({{\mathbf {R}}^d}) implies weak convergence.
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