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DISCREPANCY OF SECOND ORDER DIGITAL SEQUENCES IN FUNCTION SPACES WITH DOMINATING MIXED SMOOTHNESS

  • Published:2017-01 Issue:3 Volume:63 Page:863-894
  • ISSN:0025-5793
  • Container-title:Mathematika
  • language:en
  • Short-container-title:Mathematika

Author:

Dick Josef1,Hinrichs Aicke2,Markhasin Lev3,Pillichshammer Friedrich4

Affiliation:

1. School of Mathematics and StatisticsThe University of New South WalesSydneyNSW2052Australia

2. Institut für FunktionalanalysisJohannes Kepler Universität LinzAltenbergerstraße 694040LinzAustria

3. Institut für Stochastik uand AnwendungenUniversität StuttgartPfaffenwaldring 5770569StuttgartGermany

4. Institut für Finanzmathematik und angewandte ZahlentheorieJohannes Kepler Universität LinzAltenbergerstraße 694040LinzAustria

Funder

Austrian Science Fund

Publisher

Wiley

Subject

General Mathematics

Reference41 articles.

1. Irregularities of Distribution

2. Exponential squared integrability of the discrepancy function in two dimensions;Bilyk D.;Mathematika,2009

3. On the Small Ball Inequality in all dimensions

4. BMO and exponential Orlicz space estimates of the discrepancy function in arbitrary dimension;Bilyk D.;J. Anal. Math.

5. A Continuous Version of Duality of H 1 with BMO on the Bidisc

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The BMO-discrepancy suffers from the curse of dimensionality;Journal of Complexity;2023-06

2. Tractability properties of the discrepancy in Orlicz norms;Journal of Complexity;2020-12

3. 4. Recent advances in higher order quasi-Monte Carlo methods;Discrepancy Theory;2020-01-20

4. Discrepancy of Digital Sequences: New Results on a Classical QMC Topic;Springer Proceedings in Mathematics & Statistics;2020

5. Klaus Friedrich Roth, 1925-2015;Bulletin of the London Mathematical Society;2018-06
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