Hardy's inequalities and Erdelyi-Kober fractional integrals on BMO(r)

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Abstract

In this paper, the Hardy’s inequalities are extended to the function spaces of bounded mean oscillation associated with growth functions. We also establish the boundedness of the Erdélyi-Kober fractional integrals on the function spaces of bounded mean oscillation associated with growth functions. Copyright © 2021 AZJM. All rights reserved.
Original languageEnglish
Pages (from-to)92-103
JournalAzerbaijan Journal of Mathematics
Volume11
Issue number1
Publication statusPublished - Jan 2020

Citation

Ho, K.-P. (2021). Hardy's inequalities and Erdelyi-Kober fractional integrals on BMO(r). Azerbaijan Journal of Mathematics, 11(1), 92-103.

Keywords

  • Bounded mean oscillation
  • Fractional integral
  • Hardy’s inequality
  • Integral operator

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