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Riesz semigroups of order \(\alpha\) on the half space - MaRDI portal

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Riesz semigroups of order \(\alpha\) on the half space (Q1611279)

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scientific article; zbMATH DE number 1785632
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English
Riesz semigroups of order \(\alpha\) on the half space
scientific article; zbMATH DE number 1785632

    Statements

    Riesz semigroups of order \(\alpha\) on the half space (English)
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    21 August 2002
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    Necessary and sufficient conditions are proved for the comparison of the Riesz \(\alpha \) semigroup on the half space and its perturbed semigroup by a nonnegative Radon measure. Similar results are given for the corresponding resolvents. The proofs rely on careful estimates for the Riesz \(\alpha \) semigroup on the half space and on techniques developed previously by the author [Potential Anal. 3, 15-45 (1994; Zbl 0795.31008)].
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    Riesz semigroup of order \(\alpha \)
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    comparison
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    estimates
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