Demonstratio Mathematica (Feb 2019)

Zygmund inequality of the conjugate function on Morrey-Zygmund spaces

  • Yee Tat-Leung,
  • Ho Kwok-Pun

DOI
https://doi.org/10.1515/dema-2019-0011
Journal volume & issue
Vol. 52, no. 1
pp. 97 – 104

Abstract

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We generalize the Zygmund inequality for the conjugate function to the Morrey type spaces defined on the unit circle T. We obtain this extended Zygmund inequality by introducing the Morrey-Zygmund space on T.

Keywords