# Some Sawyer type inequalities for martingales

Studia Mathematica (1994)

- Volume: 111, Issue: 2, page 187-194
- ISSN: 0039-3223

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topChang, Xiang-Qian. "Some Sawyer type inequalities for martingales." Studia Mathematica 111.2 (1994): 187-194. <http://eudml.org/doc/216127>.

@article{Chang1994,

abstract = {Some martingale analogues of Sawyer's two-weight norm inequality for the Hardy-Littlewood maximal function Mf are shown for the Doob maximal function of martingales.},

author = {Chang, Xiang-Qian},

journal = {Studia Mathematica},

keywords = {Sawyer's two-weight norm inequality; Hardy-Littlewood maximal function; Doob maximal function; martingales},

language = {eng},

number = {2},

pages = {187-194},

title = {Some Sawyer type inequalities for martingales},

url = {http://eudml.org/doc/216127},

volume = {111},

year = {1994},

}

TY - JOUR

AU - Chang, Xiang-Qian

TI - Some Sawyer type inequalities for martingales

JO - Studia Mathematica

PY - 1994

VL - 111

IS - 2

SP - 187

EP - 194

AB - Some martingale analogues of Sawyer's two-weight norm inequality for the Hardy-Littlewood maximal function Mf are shown for the Doob maximal function of martingales.

LA - eng

KW - Sawyer's two-weight norm inequality; Hardy-Littlewood maximal function; Doob maximal function; martingales

UR - http://eudml.org/doc/216127

ER -

## References

top- [1] J. L. Doob, Stochastic Processes, Wiley, New York, 1953. Zbl0053.26802
- [2] R. A. Hunt, D. S. Kurtz and C. J. Neugebauer, A note on the equivalence of ${A}_{p}$ and Sawyer’s condition for equal weights, in: Conf. Harmonic Analysis in Honor of A. Zygmund, Wadsworth, Belmont, Calif., 1981, 156-158.
- [3] M. Izumisawa and N. Kazamaki, Weighted norm inequalities for martingales, Tôhoku Math. J. 29 (1977), 115-124. Zbl0359.60050
- [4] B. Muckenhoupt, Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1972), 207-226. Zbl0236.26016
- [5] E. Sawyer, A characterization of a two weight norm inequality for maximal operators, Studia Math. 75 (1982), 1-11. Zbl0508.42023

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