Journal of Hebei University (Natural Science Edition) ›› 2019, Vol. 39 ›› Issue (3): 230-234.DOI: 10.3969/j.issn.1000-1565.2019.03.002

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Slice regular Jacksons theorem in quaternionic Hardy spaces

CHEN Yingwei, WANG Zhijun   

  1. College of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China
  • Received:2018-07-27 Online:2019-05-25 Published:2019-05-25

Abstract: In two types of quaternionic Hardy spaces in non-commutative field, de la Vallée Poussin operators are constructed in order to obtain slice regular Jacksons theorem with high order modulus.

Key words: quaternionic Hardy spaces, Jacksons theorem, de la Vallée Poussin operator, regular polynomial

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