A martingale proof of the theorem by Jessen, Marcinkiewicz and Zygmund on strong differentiation of integrals
Séminaire de probabilités de Strasbourg, Tome 35 (2001), pp. 158-161.
@article{SPS_2001__35__158_0,
     author = {Kuchta, Malgorsata and Morayne, Michal and Solecki, Slawomir},
     title = {A martingale proof of the theorem by {Jessen,} {Marcinkiewicz} and {Zygmund} on strong differentiation of integrals},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     pages = {158--161},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {35},
     year = {2001},
     mrnumber = {1837283},
     zbl = {0991.28001},
     language = {en},
     url = {http://www.numdam.org/item/SPS_2001__35__158_0/}
}
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%A Solecki, Slawomir
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%J Séminaire de probabilités de Strasbourg
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Kuchta, Malgorsata; Morayne, Michal; Solecki, Slawomir. A martingale proof of the theorem by Jessen, Marcinkiewicz and Zygmund on strong differentiation of integrals. Séminaire de probabilités de Strasbourg, Tome 35 (2001), pp. 158-161. http://www.numdam.org/item/SPS_2001__35__158_0/

[C] R. Cairoli, Une inégalité pour martingales à indices multiples et ses applications, Séminaire de Probabilités IV, Lecture Notes in Mathematics 124, 1970, Springer-Verlag, Berlin, 1-27. | Numdam | MR | Zbl

[Ch] S.D. Chatterji, Les martingales et leurs applications analytiques, École d'Été de Probabilités, Processus Stochastiques, Lecture Notes in Mathematics 307, 1973, Springer-Verlag, Berlin, 27-146. | MR

[DM] C. Dellacherie and P.-A. Meyer, Probabilités et Potentiel, Hermann, Paris, 1980. | MR

[JMZ] B. Jessen, J. Marcinkiewicz and A. Zygmund, Note on the differentiability of multiple integrals, Fundamenta Mathematicae 25, 1935, 217-234. | JFM | Zbl

[M] B. Maisonneuve, Surmartingales-mesures, Séminaire de Probabilités XV, Lecture Notes in Mathematics 850, 1981, Springer-Verlag, Berlin, 347-350. | Numdam | MR | Zbl

[MS] M. Morayne and S. Solecki, Martingale proof of the existence of Lebesgue points, Real Analysis Exchange 15, 1989-90, 401-406. | MR | Zbl