# Two-weight mixed ф-inequalities for the one-sided maximal function

Studia Mathematica (1995)

- Volume: 115, Issue: 1, page 1-22
- ISSN: 0039-3223

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topLai, Qinsheng. "Two-weight mixed ф-inequalities for the one-sided maximal function." Studia Mathematica 115.1 (1995): 1-22. <http://eudml.org/doc/216195>.

@article{Lai1995,

abstract = {},

author = {Lai, Qinsheng},

journal = {Studia Mathematica},

keywords = {Young function; one-sided maximal function; Fefferman-Stein type fractional operator; Hardy-type operator; mixed -inequalities; weight functions; Young functions; strong type; weak type; extra-weak type; Fefferman-Stein type fractional maximal operator},

language = {eng},

number = {1},

pages = {1-22},

title = {Two-weight mixed ф-inequalities for the one-sided maximal function},

url = {http://eudml.org/doc/216195},

volume = {115},

year = {1995},

}

TY - JOUR

AU - Lai, Qinsheng

TI - Two-weight mixed ф-inequalities for the one-sided maximal function

JO - Studia Mathematica

PY - 1995

VL - 115

IS - 1

SP - 1

EP - 22

AB -

LA - eng

KW - Young function; one-sided maximal function; Fefferman-Stein type fractional operator; Hardy-type operator; mixed -inequalities; weight functions; Young functions; strong type; weak type; extra-weak type; Fefferman-Stein type fractional maximal operator

UR - http://eudml.org/doc/216195

ER -

## References

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- [2] S. Bloom and R. Kerman, Weighted ${L}_{\Phi}$ integral inequalities for operators of Hardy type, Studia Math. 110 (1994), 35-52. Zbl0823.42010
- [3] S. Bloom and R. Kerman, Weighted Orlicz space integral inequalities for the Hardy-Littlewood maximal operator, ibid., 149-167. Zbl0813.42014
- [4] R. Coifman et G. Weiss, Analyse harmonique non-commutative sur certains espaces homogènes, Lecture Notes in Math. 242, Springer, Berlin, 1971. Zbl0224.43006
- [5] C. Fefferman and E. M. Stein, Some maximal inequalities, Amer. J. Math. 93 (1971), 107-115. Zbl0222.26019
- [6] M. A. Krasnosel'skiĭ and Ya. B. Rutickiĭ, Convex Functions and Orlicz Spaces, Noordhoff, Groningen, 1961.
- [7] Q. Lai, Weighted weak type inequalities for fractional maximal operator on spaces of homogeneous type, Acta Math. Sinica 32 (1989), 448-456. Zbl0717.42022
- [8] Q. Lai, Two weight mixed Φ-inequalities for the Hardy operator and the Hardy-Littlewood maximal operator, J. London Math. Soc. (2) 48 (1992), 301-318. Zbl0758.42012
- [9] Q. Lai, Two weight Φ-inequalities for the Hardy operator, Hardy-Littlewood maximal operator and fractional integrals, Proc. Amer. Math. Soc. 118 (1993), 129-142. Zbl0783.42010
- [10] Q. Lai, Weighted integral inequalities for the Hardy type operator and the fractional maximal operator, J. London Math. Soc. (2) 49 (1994), 244-266. Zbl0794.42015
- [11] Q. Lai, A note on the weighted norm inequality for the one-sided maximal operator, Proc. Amer. Math. Soc., to appear. Zbl0922.42015
- [12] Q. Lai, Weighted ${L}^{p}$-estimates for the one-sided maximal operator, preprint.
- [13] Q. Lai, A note on maximal inequalities, preprint. Zbl0881.42013
- [14] F. J. Martín-Reyes, New proofs of weighted inequalities for the one-sided Hardy-Littlewood maximal functions, preprint. Zbl0771.42011
- [15] F. J. Martín-Reyes, P. Ortega Salvador and A. de la Torre, Weighted inequalities for one-sided maximal functions, Trans. Amer. Math. Soc. 319 (1990), 517-534. Zbl0696.42013
- [16] P. Ortega Salvador, Weighted inequalities for one-sided maximal function in Orlicz classes, preprint. Zbl0922.42012
- [17] P. Ortega Salvador and L. Pick, Two weight weak and extra-weak type inequalities for the one-sided maximal operator, preprint. Zbl0806.42011
- [18] L. Pick, Two-weight weak type maximal inequalities in Orlicz classes, Studia Math. 100 (1991), 207-218. Zbl0752.42012
- [19] E. Sawyer, A characterization of a two-weight norm inequality for maximal operator, ibid. 75 (1982), 1-11.
- [20] E. Sawyer, Weighted inequalities for the one-sided Hardy-Littlewood maximal functions, Trans. Amer. Math. Soc. 297 (1986), 53-61. Zbl0627.42009
- [21] T. Shimogaki, Hardy-Littlewood majorants in function spaces, J. Math. Soc. Japan 17 (1965), 365-373. Zbl0135.16304

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