\(L^ p\) estimates for the Cauchy transforms of distributions with respect to convex cones (Q2366583)
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| Language | Label | Description | Also known as |
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| English | \(L^ p\) estimates for the Cauchy transforms of distributions with respect to convex cones |
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\(L^ p\) estimates for the Cauchy transforms of distributions with respect to convex cones (English)
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30 August 1993
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Summary: The main purpose of this work is to give \(L^ p\) and \(L^ p_{\text{loc}}\) estimates for the Cauchy transforms of a distribution with respect to a general convex cone. We discuss first the case of proper cones, and we show that global \(L^ \infty\) estimates can be given for polygonal cones or for circular cones when \(p<2(n-1)/(n-2)\); in this case we show that the estimates that can be given are sharp.
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\(L^ p\) and \(L^ p_{\text{loc}}\) estimates
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global \(L^ \infty\) estimates
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Cauchy transforms of a distribution
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general convex cone
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