Keywords
- Brownian Motion
- Lebesgue Measure
- Probabilistic Interpretation
- Poisson Kernel
- Differentiability Property
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References
D. L. Burkholder and R. F. Gundy, Distribution function inequalities for the area integral, Studia Math. XLIV (1972), 527–544.
— and M. L. Silverstein, A maximal function characterization of the class H p Trans. Amer. Math. Soc. 157 (1971), 137–153.
C. Fefferman and E.M. Stein, H p -spaces of several variables, Acta. Math. 129 (1972), 137–193.
R. F. Gundy and N. Th. Varopoulos, Les transformations de Riesz et les intégrales stochastiques, C. R. Acad. Sc. Paris 289 (A), 13–16.
G. A. Hunt, Markov chains and Martin boundaries, Ill. J. of Math. 4 (1960), 313–340.
E.M. Stein, Singular integrals and differentiability properties of functions, Princeton 1970.
M. Weil, Quasi-processus, Seminaire de Probabilities IV, Lecture Notes in Math. No. 124, Springer Verlag, 1970.
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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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Print ISBN: 978-3-540-11484-0
Online ISBN: 978-3-540-39155-5
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