Dichotomy results for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>norm of the discrepancy function

Gagik Amirkhanyan, Dmitriy Bilyk, Michael T. Lacey

Type: Article

Publication Date: 2013-08-13

Citations: 3

DOI: https://doi.org/10.1016/j.jmaa.2013.08.002

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Journal of Mathematical Analysis and Applications - View
arXiv (Cornell University) - View - PDF
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Works Cited by This (10)

Action	Title	Year	Authors
+ PDF Chat	On the discrepancy function in arbitrary dimension, close to L 1	2008	Michael T. Lacey
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+	On irregularities of distribution	1954	K. F. Roth
+	Explicit constructions in the classical mean squares problem in irregularities of point distribution	2002	William Chen M. M. Skriganov
+	Number Theory and Algebra	1995	Rajeev Motwani Prabhakar Raghavan
+	On the Small Ball Inequality in all dimensions	2007	Dmitriy Bilyk Michael T. Lacey Armen Vagharshakyan
+	Digital Nets and Sequences	2010	Josef Dick Friedrich Pillichshammer
+	Discrepancy Theory and Quasi-Monte Carlo Integration	2014	Josef Dick Friedrich Pillichshammer