# Weighted norm inequalities on spaces of homogeneous type

Studia Mathematica (1992)

- Volume: 101, Issue: 3, page 241-251
- ISSN: 0039-3223

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topSun, Qiyu. "Weighted norm inequalities on spaces of homogeneous type." Studia Mathematica 101.3 (1992): 241-251. <http://eudml.org/doc/215903>.

@article{Sun1992,

abstract = {We give a characterization of the weights (u,w) for which the Hardy-Littlewood maximal operator is bounded from the Orlicz space L\_Φ(u) to L\_Φ(w). We give a characterization of the weight functions w (respectively u) for which there exists a nontrivial u (respectively w > 0 almost everywhere) such that the Hardy-Littlewood maximal operator is bounded from the Orlicz space L\_Φ(u) to L\_Φ(w).},

author = {Sun, Qiyu},

journal = {Studia Mathematica},

keywords = {weights; Hardy-Littlewood maximal operator; Orlicz space},

language = {eng},

number = {3},

pages = {241-251},

title = {Weighted norm inequalities on spaces of homogeneous type},

url = {http://eudml.org/doc/215903},

volume = {101},

year = {1992},

}

TY - JOUR

AU - Sun, Qiyu

TI - Weighted norm inequalities on spaces of homogeneous type

JO - Studia Mathematica

PY - 1992

VL - 101

IS - 3

SP - 241

EP - 251

AB - We give a characterization of the weights (u,w) for which the Hardy-Littlewood maximal operator is bounded from the Orlicz space L_Φ(u) to L_Φ(w). We give a characterization of the weight functions w (respectively u) for which there exists a nontrivial u (respectively w > 0 almost everywhere) such that the Hardy-Littlewood maximal operator is bounded from the Orlicz space L_Φ(u) to L_Φ(w).

LA - eng

KW - weights; Hardy-Littlewood maximal operator; Orlicz space

UR - http://eudml.org/doc/215903

ER -

## References

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- [10] J. Musielak, Orlicz Spaces and Modular Spaces, Springer, Berlin 1983.
- [11] W. Pan, Weighted norm inequalities for fractional integrals and maximal functions on spaces of homogeneous type, Acta Sci. Natur. Univ. Pekinensis 26 (1990), 543-553. Zbl0729.42008
- [12] J. L. Rubio de Francia, Boundedness of maximal functions and singular integrals in weighted L^p spaces, Proc. Amer. Math. Soc. 83 (1981), 673-679. Zbl0477.42011
- [13] E. T. Sawyer, A characterization of a two-weight norm inequality for maximal operators, Studia Math. 75 (1982), 1-11. Zbl0508.42023
- [14] W.-S. Young, Weighted norm inequalities for the Hardy-Littlewood maximal function, Proc. Amer. Math. Soc. 85 (1982), 24-26. Zbl0489.42019
- [15] M. Zhou, Weighted norm inequalities for the maximal functions on spaces of homogeneous type, Approx. Theory Appl. 6 (2) (1990), 38-42.

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