An equivalent characterization of weak BMO martingale spaces

• Autorzy: Zhou D. , Li W. , Jiao Y.

Identyfikatory

DOI

10.19195/0208-4147.38.2.3

• Języki publikacji: EN

Abstrakty

EN

In this paper, we give an equivalent characterization of weak BMO martingale spaces due to Ferenc Weisz (1998).

Słowa kluczowe

EN

weak BMO space; martingale; John-Nirenberg inequality

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2018
• Tom: Vol. 38, Fasc. 2
• Strony: 287--298
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Zhou D.

• School of Mathematics and Statistics, Central South University, Changsha 410075, China

autor

Li W.

• School of Mathematics and Statistics, Central South University, Changsha 410075, China

autor

Jiao Y.

• School of Mathematics and Statistics, Central South University, Changsha 410075, China

Bibliografia

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• [5] K. Ho, Atomic decompositions, dual spaces and interpolations of martingale Hardy-Lorentz-Karamata spaces, Q. J. Math. 65 (3) (2014), pp. 985-1009.
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• [8] Y. Jiao, L. Wu, A. Yang, and R. Yi, The predual and John-Nirenberg inequalities on generalized BMO martingale spaces, Trans. Amer. Math. Soc. 369 (1) (2017), pp. 537-553.
• [9] Y. Jiao, D. Zhou, F. Weisz, and L. Wu, Variable martingale Hardy spaces and their applications in Fourier analysis, submitted, 2018.
• [10] Y. Jiao, Y. Zuo, D. Zhou, and L. Wu, Variable Hardy-Lorentz spaces Hp(・),q(Rn), Math. Nachr. (to appear).
• [11] F. John and L. Nirenberg, On functions of bounded mean oscillation, Comm. Pure Appl. Math. 14 (1961), pp. 415-426.
• [12] K. Liu and D. Zhou, Dual spaces of weak martingale Hardy-Lorentz-Karamata spaces, Acta Math. Hungar. 151 (1) (2017), pp. 50-68.
• [13] K. Liu, D. Zhou, and L. Peng, A weak type John-Nirenberg theorem for martingales, Statist. Probab. Lett. 122 (2017), pp. 190-197.
• [14] R. L. Long, Martingale Spaces and Inequalities, Peking University Press, Beijing 1993.
• [15] F. Weisz, Martingale Hardy spaces for 0 < p ≤ 1, Probab. Theory Related Fields 84 (3) (1990), pp. 361-376.
• [16] F. Weisz, Martingale Hardy Spaces and Their Applications in Fourier Analysis, Springer, Berlin 1994.
• [17] F. Weisz, Weak martingale Hardy spaces, Probab. Math. Statist. 18 (1) (1998), pp. 133-148.
• [18] R. Yi, L. Wu, and Y. Jiao, New John-Nirenberg inequalities for martingales, Statist. Probab. Lett. 86 (2014), pp. 68-73.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).