Norm Inequalities for Potential-Type Operators in Homogeneous Spaces |
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| Authors: | Carme Cascante Joaquin M Ortega |
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| Institution: | Dept. de Matematica Aplicada i Analisi, Facultat de Matematiques, Universitat de Barcelona, Gran Via 585, 08071 Barcelona, Spain |
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| Abstract: | In this paper, we obtain a characterization of the positive Borel measures on a homogeneous space X, for which the trace inequality  holds for any f ≥. Here IΦ is a general potential type kernel, and 1 ≤ q < p < +∞. The characterization is given in terms of a generalized Wolff's potential. |
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| Keywords: | Norm inequalities homogeneous spaces potential operators |
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