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

Qinsheng Lai

Studia Mathematica (1995)

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

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Lai, 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. [2] S. Bloom and R. Kerman, Weighted L Φ integral inequalities for operators of Hardy type, Studia Math. 110 (1994), 35-52. Zbl0823.42010
  3. [3] S. Bloom and R. Kerman, Weighted Orlicz space integral inequalities for the Hardy-Littlewood maximal operator, ibid., 149-167. Zbl0813.42014
  4. [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. [5] C. Fefferman and E. M. Stein, Some maximal inequalities, Amer. J. Math. 93 (1971), 107-115. Zbl0222.26019
  6. [6] M. A. Krasnosel'skiĭ and Ya. B. Rutickiĭ, Convex Functions and Orlicz Spaces, Noordhoff, Groningen, 1961. 
  7. [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. [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. [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. [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. [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. [12] Q. Lai, Weighted L p -estimates for the one-sided maximal operator, preprint. 
  13. [13] Q. Lai, A note on maximal inequalities, preprint. Zbl0881.42013
  14. [14] F. J. Martín-Reyes, New proofs of weighted inequalities for the one-sided Hardy-Littlewood maximal functions, preprint. Zbl0771.42011
  15. [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
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  17. [17] P. Ortega Salvador and L. Pick, Two weight weak and extra-weak type inequalities for the one-sided maximal operator, preprint. Zbl0806.42011
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  21. [21] T. Shimogaki, Hardy-Littlewood majorants in function spaces, J. Math. Soc. Japan 17 (1965), 365-373. Zbl0135.16304

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