A note on MT operators
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- by D. A. Trautman PDF
- Proc. Amer. Math. Soc. 97 (1986), 445-448 Request permission
Abstract:
We give two characterizations of an MT operator $A$ from a Banach space $X$ into a quasi-Banach space $Y$. Both characterizations are generalizations of results of Burkholder concerning MT spaces, find one characterization answers a question of Bourgain and Davis.References
- J. Bourgain and W. J. Davis, Martingale transforms and complex uniform convexity, Trans. Amer. Math. Soc. 294 (1986), no. 2, 501–515. MR 825718, DOI 10.1090/S0002-9947-1986-0825718-5
- D. L. Burkholder, A sharp inequality for martingale transforms, Ann. Probab. 7 (1979), no. 5, 858–863. MR 542135
- D. L. Burkholder, A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional, Ann. Probab. 9 (1981), no. 6, 997–1011. MR 632972
- Stefan Rolewicz, Metric linear spaces, 2nd ed., PWN—Polish Scientific Publishers, Warsaw; D. Reidel Publishing Co., Dordrecht, 1984. MR 802450
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 445-448
- MSC: Primary 46B20; Secondary 60G46
- DOI: https://doi.org/10.1090/S0002-9939-1986-0840626-7
- MathSciNet review: 840626