Mathematics of the USSR-Izvestiya · 1976 · 28 citations · 6 references
Natural SciencesPhysicsTopologyConvex AnalysisConvex GeometryEuclidean GeometryMetric GeometryBrunn - Minkowski TheoryHölder's InequalityMinkowski InequalitySobolev Spaces
Imbedding theorems for Sobolev spaces with a symmetric norm are established. In particular, the results obtained lead to new imbedding theorems for Orlicz-Sobolev spaces. The proof of the basic results is based on geometric inequalities of the type of the classical Brunn-Minkowski inequality. Bibliography: 30 titles.
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Intermediate spaces and interpolation, the complex method
A. Calderón · Studia Mathematica · 1964 · 1K citations · Full text
An imbedding theorem for H°(G,Ω)-spaces
Neil S. Trudinger · Studia Mathematica · 1974 · 46 citations · Full text