The cauchy transform and menger curvature

Xavier Tolsa

doi:10.1007/978-3-319-00596-6_5

The cauchy transform and menger curvature

Research output: Chapter in Book › Chapter › Research › peer-review

Abstract

© Springer International Publishing Switzerland 2014. Recall that the Cauchy transform is the 1-dimensional singular integral in ℂ associated with the kernel (formula presented) So the Cauchy transform of a Radon measure μ in C equals (formula presented) When μ is fixed, we set Cμ(f) = C(f μ)).

Original language	English
Title of host publication	Progress in Mathematics
Pages	75-101
Number of pages	26
Volume	307
ISBN (Electronic)	2296-505X
DOIs	https://doi.org/10.1007/978-3-319-00596-6_5
Publication status	Published - 1 Jan 2014

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title = "The cauchy transform and menger curvature",

abstract = "{\textcopyright} Springer International Publishing Switzerland 2014. Recall that the Cauchy transform is the 1-dimensional singular integral in ℂ associated with the kernel (formula presented) So the Cauchy transform of a Radon measure μ in C equals (formula presented) When μ is fixed, we set Cμ(f) = C(f μ)).",

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AB - © Springer International Publishing Switzerland 2014. Recall that the Cauchy transform is the 1-dimensional singular integral in ℂ associated with the kernel (formula presented) So the Cauchy transform of a Radon measure μ in C equals (formula presented) When μ is fixed, we set Cμ(f) = C(f μ)).

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BT - Progress in Mathematics

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The cauchy transform and menger curvature

Abstract

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