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Rectifiable Measures, Square Functions Involving Densities, and the Cauchy Transform.


Rectifiable Measures, Square Functions Involving Densities, and the Cauchy Transform

Xavier Tolsa

American Mathematical Society


130 pages


Memoirs of the American Mathematical Society; Volume 245, Number 1158


Tolsa presents a comprehensive examination of the proof of two related results, one a Radon measure and the other a Cauchy transform. The author covers the compactness argument, the dyadic lattice of cells with small boundaries, the Main Lemma, the stopping cells for the proof of Main Lemma 5.1, and a wide variety of other related mathematical subjects. Tolsa is a faculty member of the Instituci Catalana de Recerca i Estudis Avancats (ICREA) in Barcelona, Spain. ([umlaut] Ringgold, Inc., Portland, OR)

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Article Type:Book review
Date:Feb 1, 2017
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