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On a probabilistic interpretation for the Riesz transforms

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Functional Analysis in Markov Processes

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 923))

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References

  1. D. L. Burkholder and R. F. Gundy, Distribution function inequalities for the area integral, Studia Math. XLIV (1972), 527–544.

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  2. — and M. L. Silverstein, A maximal function characterization of the class H p Trans. Amer. Math. Soc. 157 (1971), 137–153.

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  4. R. F. Gundy and N. Th. Varopoulos, Les transformations de Riesz et les intégrales stochastiques, C. R. Acad. Sc. Paris 289 (A), 13–16.

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  5. G. A. Hunt, Markov chains and Martin boundaries, Ill. J. of Math. 4 (1960), 313–340.

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  6. E.M. Stein, Singular integrals and differentiability properties of functions, Princeton 1970.

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  7. M. Weil, Quasi-processus, Seminaire de Probabilities IV, Lecture Notes in Math. No. 124, Springer Verlag, 1970.

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M. Fukushima

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© 1982 Springer-Verlag

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Gundy, R.F., Silverstein, M.L. (1982). On a probabilistic interpretation for the Riesz transforms. In: Fukushima, M. (eds) Functional Analysis in Markov Processes. Lecture Notes in Mathematics, vol 923. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093043

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  • DOI: https://doi.org/10.1007/BFb0093043

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11484-0

  • Online ISBN: 978-3-540-39155-5

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