BMO and exponential Orlicz space estimates of the discrepancy function in arbitrary dimension

Dmitriy Bilyk, Lev Markhasin

Type: Article

Publication Date: 2018-05-24

Citations: 7

DOI: https://doi.org/10.1007/s11854-018-0035-x

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arXiv (Cornell University) - View - PDF
Journal d Analyse Mathématique - View

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Works Cited by This (45)

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+	Orthogonality and Digit Shifts in the Classical Mean Squares Problem in Irregularities of Point Distribution	2008	William Chen M. M. Skriganov
+ PDF Chat	Irregularities of distribution, VII	1972	Wolfgang Schmidt
+	Discrepancy, Integration and Tractability	2013	Aicke Hinrichs
+	Bases in Function Spaces, Sampling, Discrepancy, Numerical integration	2010	Hans Triebel
+ PDF Chat	On irregularities of distribution, III	1979	K. Roth
+	DISCREPANCY OF GENERALIZED HAMMERSLEY TYPE POINT SETS IN BESOV SPACES WITH DOMINATING MIXED SMOOTHNESS	2013	Lev Markhasin
+	The Classical Banach Spaces	2000	Joram Lindenstrauss Lior Tzafriri
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter
+	Estimates of the Discrepancy Function in Exponential Orlicz Spaces	2013	Gagik Amirkhanyan Dmitriy Bilyk Michael T. Lacey
+	Optimal $\mathcal{L}_2$ discrepancy bounds for higher order digital sequences over the finite field $\mathbb{F}_2$	2012	Josef Dick Friedrich Pillichshammer