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Local and non-local improved Hardy inequalities with weights - MaRDI portal

Local and non-local improved Hardy inequalities with weights (Q2083986)

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scientific article; zbMATH DE number 7602452
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Local and non-local improved Hardy inequalities with weights
scientific article; zbMATH DE number 7602452

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    Local and non-local improved Hardy inequalities with weights (English)
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    17 October 2022
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    Summary: The main result in this paper is an improved Hardy inequality for functions in weighted Sobolev spaces, for a class of potentials that perturbs the inverse square potentials and for weight functions satisfying the Hölder condition. As a consequence, we derive some local improved Hardy inequalities. An application to evolution problems with Kolmogorov operators is shown.
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    improved Hardy inequality
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    weight functions
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    Kolmogorov operators
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    singular potentials
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    evolution problems
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