Norm inequalities for the conjugate operator in two-weighted Lebesgue spaces

@article{Rim2011NormIF,
  title={Norm inequalities for the conjugate operator in two-weighted Lebesgue spaces},
  author={Kyung Soo Rim and Jaesung Lee},
  journal={Journal of Inequalities and Applications},
  year={2011},
  volume={2011},
  pages={1-14}
}
In this article, first, we prove that weighted-norm inequalities for the M-harmonic conjugate operator on the unit sphere whenever the pair (u, v) of weights satisfies the Ap-condition, and udσ, vdσ are doubling measures, where dσ is the rotation-invariant positive Borel measure on the unit sphere with total measure 1. Then, we drive cross-weighted norm inequalities between the Hardy-Littlewood maximal function and the sharp maximal function whenever (u, v) satisfies the Ap-condition, and vd… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-10 OF 24 REFERENCES

A characterization of two weight norm inequalities for fractional and Poisson integrals

ET Sawyer
  • Trans Amer Math Soc. 308, 533–545
  • 1988
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

A characterization of a two-weight norm inequality for maximal operators

ET Sawyer
  • Studia Math. 75, 1–11
  • 1982
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL