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Hardy’s inequalities and integral operators on Herz-Morrey spaces

Hardy’s inequalities and integral operators on Herz-Morrey spaces AbstractWe obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces. As applications of this general result, we have the boundedness of the Hadamard fractional integrals on Herz-Morrey spaces. We also obtain the Hilbert inequality on Herz-Morrey spaces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Mathematics de Gruyter

Hardy’s inequalities and integral operators on Herz-Morrey spaces

Yee, Tat-Leung; Ho, Kwok-Pun
Open Mathematics , Volume 18 (1): 16 – Mar 10, 2020
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Publisher
de Gruyter
Copyright
© 2020 Tat-Leung Yee and Kwok-Pun Ho, published by De Gruyter
ISSN
2391-5455
eISSN
2391-5455
DOI
10.1515/math-2020-0008
Publisher site
See Article on Publisher Site

Abstract

AbstractWe obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces. As applications of this general result, we have the boundedness of the Hadamard fractional integrals on Herz-Morrey spaces. We also obtain the Hilbert inequality on Herz-Morrey spaces.

Journal

Open Mathematics – de Gruyter

Published: Mar 10, 2020

References

  • Spaces of bounded λ-central mean oscillation, Morrey spaces, and λ-central Carleson measures
  • Hardy-Littlewood-Pólya inequalities and Hausdorff operators on block spaces
  • Hardy’s inequality and Hausdorff operators on rearrangement-invariant Morrey spaces
  • Integral operators on BMO and Campanato spaces
  • Sobolev’s theorem and duality for Herz-Morrey spaces of variable exponent
  • Discrete Hardy’s inequality with 0 < p ≤ 1
  • Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces
  • Boundedness of vector-valued sublinear operators on Herz-Morrey spaces with variable exponent
  • Fractional integrals on Herz-Morrey spaces with variable exponent
  • The molecular decomposition of Herz-Morrey-Hardy spaces with variable exponents and its application
  • Modular interpolation and modular estimate of Fourier transform and related operators
  • Generalized Hardy inequalities in rearrangement invariant spaces
  • Erdélyi-Kober fractional integral operators on ball Banach function spaces