Results on weighted norm inequalities for multipliers

@inproceedings{Kurtz1979ResultsOW,
  title={Results on weighted norm inequalities for multipliers},
  author={Douglas S. Kurtz and Richard L. Wheeden},
  year={1979}
}
Weighted //-norm inequalities are derived for multiplier pperators on Euclidean space. The multipliers are assumed to satisfy conditions of the Hörmander-Mikhlin type, and the weight functions are generally required to satisfy conditions more restrictive than A which depend on the degree of differentiability of the multiplier. For weights which are powers of \x\, sharp results are obtained which indicate such restrictions are necessary. The method of proof is based on the function /* of C… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 91 CITATIONS

Translation-invariant operators on spaces of vector-valued functions

VIEW 5 EXCERPTS
CITES BACKGROUND
HIGHLY INFLUENCED

Endpoint estimates via extrapolation theory

VIEW 9 EXCERPTS
CITES METHODS, BACKGROUND & RESULTS
HIGHLY INFLUENCED

Weighted Local Estimates for Singular Integral Operators

VIEW 4 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

Weighted norm inequalities for multilinear Fourier multipliers

VIEW 3 EXCERPTS
CITES BACKGROUND
HIGHLY INFLUENCED

Weighted norm inequalities, Gaussian bounds and sharp spectral multipliers

VIEW 4 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

FILTER CITATIONS BY YEAR

1981
2019

CITATION STATISTICS

  • 10 Highly Influenced Citations

References

Publications referenced by this paper.
SHOWING 1-10 OF 13 REFERENCES

Weighted norm inequalities for singular integrals

VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

Feffennan, A weighted norm inequality for singular integrals

  • C. A. Cordoba
  • Studia Math
  • 1976

Feffennan, Weighted norm inequalities for maximal functions and singular integrals

  • C. R. Coifman
  • Studia Math
  • 1974
VIEW 3 EXCERPTS

Wheeden, Weighted norm inequalities for the conjugate function and the Hilbert transform

  • R. Hunt, R. B. Muckenhoupt
  • Trans. Amer. Math. Soc
  • 1973
VIEW 1 EXCERPT

Wheeden, Weighted norm inequalities for singular and fractional integrals

  • R. B. Muckenhoupt
  • Trans. Amer. Math. Soc
  • 1971

On the existence of singular integrals, Proc

  • A. P. Calderón, M. Weiss, A. Zygmund
  • Sympos. Pure Math., vol. 10, Amer. Math. Soc., Providence, R. I.,
  • 1967
VIEW 1 EXCERPT