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Rectifiable measures, square functions involving densities, and the Cauchy transform /
"This monograph is devoted to the proof of two related results. The first one asserts that if is a Radon measure in satisfyingfor -a.e., then is rectifiable. Since the converse implication is already known to hold, this yields the following characterization of rectifiable sets: a set with finit...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1158. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | "This monograph is devoted to the proof of two related results. The first one asserts that if is a Radon measure in satisfyingfor -a.e., then is rectifiable. Since the converse implication is already known to hold, this yields the following characterization of rectifiable sets: a set with finite -dimensional Hausdorff measure is rectifiable if and only if Ĥ1x2E The second result of the monograph deals with the relationship between the above square function in the complex plane and the Cauchy transform . Assuming that has linear growth, it is proved that is bounded in if and only iffor every square ."--Publisher website. |
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| Notas: | "Volume 245, Number 1158 (third of 6 numbers), January 2017." |
| Descripción Física: | 1 online resource (v, 130 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 129-130). |
| ISBN: | 9781470436056 1470436051 1470422522 9781470422523 |
| ISSN: | 0065-9266 ; |