On the Boundedness of Classical Operators on Weighted Lorentz Spaces

@inproceedings{Rakotondratsimba2001OnTB,
  title={On the Boundedness of Classical Operators on Weighted Lorentz Spaces},
  author={Yves Rakotondratsimba},
  year={2001}
}
Conditions on weights u(·), v(·) are given so that a classical operator T sends the weighted Lorentz space Lrs(vdx) into Lpq(udx). Here T is either a fractional maximal operator Mα or a fractional integral operator Iα or a Calderón–Zygmund operator. A characterization of this boundedness is obtained for Mα and Iα when the weights have some usual properties and max(r, s) ≤ min(p, q). § 0. Introduction Let u(·), v(·), w1(·), w2(·) be weight functions on Rn, n ∈ N∗, i.e., nonnegative locally… CONTINUE READING

From This Paper

Topics from this paper.

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-4 of 4 references

Compactness of Hardy-type integral operators in weighted Banach function spaces

  • D. Edmunds, P. Gurka, L. Pick
  • Studia Math
  • 1994
Highly Influential
3 Excerpts

Weighted Lebesgue and Lorentz norm inequality for the Hardy operators

  • E. Sawyer
  • Trans. Amer. Math. Soc. 281(1984),
  • 1996
1 Excerpt

The Hardy–Littlewood maximal function and weighted Lorentz spaces

  • M. Carro, J. Soria
  • 1993
2 Excerpts

On L(p, q) spaces. L’enseign

  • A. Hunt
  • 1966
1 Excerpt

Similar Papers

Loading similar papers…