Remarks on measure-valued Lagrangians on homogeneous spaces (Q1809068)

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scientific article; zbMATH DE number 1370129
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Remarks on measure-valued Lagrangians on homogeneous spaces
scientific article; zbMATH DE number 1370129

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    Remarks on measure-valued Lagrangians on homogeneous spaces (English)
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    25 November 1999
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    The main aim of the authors is to present the proof of Sobolev inequalities on spaces of homogeneous type, for measure-valued Lagrangians that may not have pointwise defined densities (as in the fractal case). The authors use an approach based on Riesz potential estimates.
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    Dirichlet forms
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    variational fractals
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    Sobolev inequalities
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    spaces of homogeneous type
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    measure-valued Lagrangians
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    Riesz potential estimates
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