Characterizations of Hankel Multipliers

@inproceedings{Seeger2007CharacterizationsOH,
  title={Characterizations of Hankel Multipliers},
  author={Andreas Seeger},
  year={2007}
}
We give characterizations of radial Fourier multipliers as acting on radial L functions, 1 < p < 2d/(d + 1), in terms of Lebesgue space norms for Fourier localized pieces of the convolution kernel. This is a special case of corresponding results for general Hankel multipliers. Besides L −L bounds we also characterize weak type inequalities and intermediate inequalities involving Lorentz spaces. Applications include results on interpolation of multiplier spaces. 

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References

Publications referenced by this paper.
Showing 1-10 of 47 references

Interpolation of multiplier spaces

  • M. Zafran
  • Amer. J. Math. 105
  • 1983
Highly Influential
5 Excerpts

Bounded orthogonal systems and the Λ(p)-set problem

  • J. Bourgain
  • Acta Math. 162
  • 1989
Highly Influential
6 Excerpts

Interpolation spaces

  • J. Bergh, J. Löfström
  • an introduction. Grundlehren der Mathematischen…
  • 1976
Highly Influential
5 Excerpts

On connections between Hankel

  • K. Stempak
  • Laguerre and Jacobi transplantations, Tôhoku Math…
  • 2002
Highly Influential
2 Excerpts

A failure of stability under complex interpolation

  • W. C. Connett, A. L. Schwartz
  • Canad. J. Math. 29
  • 1977
Highly Influential
5 Excerpts

Boundedness of translation invariant operators on Hölder spaces and L-spaces

  • E. M. Stein, A. Zygmund
  • Ann. of Math. (2) 85
  • 1967
Highly Influential
4 Excerpts

Some properties of trigonometric series whose terms have random signs

  • R. Salem, A. Zygmund
  • Acta Math. 91
  • 1954
Highly Influential
4 Excerpts

Weighted estimates for the Hankel transform transplantation operator

  • F. Nazarov, A. Seeger, A. Nowak, K. Stempak
  • Tôhoku Math . J .
  • 2006

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