Bulletin of the American Mathematical Society

MathSciNet review: 1567066
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Book Information:

Author: K. E. Petersen
Title: Brownian motion, Hardy spaces and bounded mean oscillation
Additional book information: London Mathematical Society Lecture Note Series (2) vol. 28, Cambridge University Press, Cambridge, London, New York, Melbourne, 105 pp.

D. L. Burkholder, R. F. Gundy, and M. L. Silverstein, A maximal function characterization of the class $H^{p}$, Trans. Amer. Math. Soc. 157 (1971), 137–153. MR 274767, DOI 10.1090/S0002-9947-1971-0274767-6

C. Fefferman and E. M. Stein, $H^{p}$ spaces of several variables, Acta Math. 129 (1972), no. 3-4, 137–193. MR 447953, DOI 10.1007/BF02392215

G. H. Hardy and J. E. Littlewood, A maximal theorem with function-theoretic applications, Acta Math. 54 (1930), no. 1, 81–116. MR 1555303, DOI 10.1007/BF02547518

Shizuo Kakutani, Two-dimensional Brownian motion and harmonic functions, Proc. Imp. Acad. Tokyo 20 (1944), 706–714. MR 14647

Paul Lévy, Processus stochastiques et mouvement brownien, Gauthier-Villars & Cie, Paris, 1965 (French). Suivi d’une note de M. Loève; Deuxième édition revue et augmentée. MR 0190953

Friedrich Riesz, Über Potenzreihen mit vorgeschriebenen Anfangsgliedern, Acta Math. 42 (1920), no. 1, 145–171 (German). MR 1555162, DOI 10.1007/BF02404405

1.

D. L. Burkholder, R. F. Gundy and M. L. Silverstein, A maximal function characterization of the class H, Trans. Amer. Math. Soc. 157 (1971), 137-153. MR 0274767

2.

C. Fefferman and E. M. Stein, H, Acta Math. 129 (1972), 137-193. MR 447953

3.

G. H. Hardy and J. E. Littlewood, A maximal theorem with function-theoretic applications. Acta Math. 54 (1930), 81-116. MR 1555303

4.

Shizuo Kakutani, Two-dimensional Brownian motion and harmonic functions, Proc. Imp. Acad. Tokyo 20 (1944), 706-714. MR 14647

5.

Paul Lévy, Processus stochastiques et mouvement Brownien, Gauthier-Villars, Paris, 1948. MR 190953

6.

M. Riesz, Über Pontezreiben mit vorgeschriebenen Anfangsgliedern, Acta Math. 42 (1920), 145-171. MR 1555162