Luxemburg, W. A. J. (1972) On an inequality of A. Khintchine for zero-one matrices. Journal of Combinatorial Theory. Series A, 12 (2). pp. 289-296. ISSN 0097-3165. doi:10.1016/0097-3165(72)90043-X. https://resolver.caltech.edu/CaltechAUTHORS:20181009-140410509
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Abstract
Let A be a matrix of m rows and n columns whose entries are either zero or one with row i of sum ri (i = 1, 2,…, m) and column j of sum sj (j = 1, 2,…, n). Then a result of Khintchine states that , where l = max(m, n) and σ is the total number of ones in A. In the present paper a new proof of Khintchine's inequality is presented and a number of extensions to bounded plane measurable sets are discussed.
| Item Type: | Article | ||||||
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| Additional Information: | © 1972 Published by Elsevier Inc. This work was supported in part by NSF grant GP-14133. | ||||||
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| Issue or Number: | 2 | ||||||
| DOI: | 10.1016/0097-3165(72)90043-X | ||||||
| Record Number: | CaltechAUTHORS:20181009-140410509 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20181009-140410509 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 90203 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Joy Painter | ||||||
| Deposited On: | 10 Oct 2018 17:30 | ||||||
| Last Modified: | 16 Nov 2021 03:30 |
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