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Grand Lebesgue sequence spaces

Grand Lebesgue sequence spaces AbstractWe introduce grand Lebesgue sequence spaces and study various operators of harmonic analysis in these spaces, e.g., maximal, convolution, Hardy, Hilbert, and fractional operators, among others. Special attention is paid to fractional calculus, including the density of the discrete version of a Lizorkin sequence test space in vanishing grand spaces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Grand Lebesgue sequence spaces

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Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1572-9176
eISSN
1572-9176
DOI
10.1515/gmj-2018-0017
Publisher site
See Article on Publisher Site

Abstract

AbstractWe introduce grand Lebesgue sequence spaces and study various operators of harmonic analysis in these spaces, e.g., maximal, convolution, Hardy, Hilbert, and fractional operators, among others. Special attention is paid to fractional calculus, including the density of the discrete version of a Lizorkin sequence test space in vanishing grand spaces.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Jun 1, 2018

References

  • Inverting the p-harmonic operator
  • Some theorems about the Riesz fractional integral
  • Some elementary inequalities. III
  • Generalization of the notion of grand Lebesgue space
  • The maximal theorem for weighted grand Lebesgue spaces
  • On grand Lebesgue spaces on sets of infinite measure