@article{SPS_1990__24__15_0,
author = {Bass, Richard F.},
title = {A probabilistic approach to the boundedness of singular integral operators},
journal = {S\'eminaire de probabilit\'es de Strasbourg},
pages = {15--40},
publisher = {Springer - Lecture Notes in Mathematics},
volume = {24},
year = {1990},
mrnumber = {1071529},
zbl = {0703.60065},
language = {en},
url = {http://www.numdam.org/item/SPS_1990__24__15_0/}
}
TY - JOUR AU - Bass, Richard F. TI - A probabilistic approach to the boundedness of singular integral operators JO - Séminaire de probabilités de Strasbourg PY - 1990 SP - 15 EP - 40 VL - 24 PB - Springer - Lecture Notes in Mathematics UR - http://www.numdam.org/item/SPS_1990__24__15_0/ LA - en ID - SPS_1990__24__15_0 ER -
%0 Journal Article %A Bass, Richard F. %T A probabilistic approach to the boundedness of singular integral operators %J Séminaire de probabilités de Strasbourg %D 1990 %P 15-40 %V 24 %I Springer - Lecture Notes in Mathematics %U http://www.numdam.org/item/SPS_1990__24__15_0/ %G en %F SPS_1990__24__15_0
Bass, Richard F. A probabilistic approach to the boundedness of singular integral operators. Séminaire de probabilités de Strasbourg, Tome 24 (1990), pp. 15-40. http://www.numdam.org/item/SPS_1990__24__15_0/
1. : Martingale transforms and related singular integrals. Trans. Amer. Math. Soc. 293, 547-563 (1986). | MR | Zbl
2. .: Probabilistic square functions and a priori estimates. Trans. Amer. Math. Soc. 291, 159-166 (1985). | MR | Zbl
3. , : Théorie de Littlewood-Paley et processus stables. C.R. Acad. Sc.Paris 299, 931-934 (1984). | MR | Zbl
4. .: Vector-valued singular integrals and the H1-BMO duality. In: Chao, J.A, Woyczynski, W.A. (eds.) Probability Theory and Harmonic Analysis (pp. 1-19) New York: Marcel Dekker 1986. | MR | Zbl
5. .: A geometric condition that implies that existence of certain singular integrals of Banach-space-valued functions. In: Becker, W., Calderón, A.P., Fefferman, R., Jones, P.W. (eds.) Conference on Harmonic Analysis in Honor of Antoni Zygmund (vol. 1, pp. 270-286). Belmont CA: Wadsworth 1983. | MR
6. , : A boundedness criterion for generalized Calderón-Zygmund operators. Ann. Math. 120, 371-397 (1984). | MR | Zbl
7. , : Probabilités et potentiel: théorie des martingales. Paris: Hermann 1980. | MR | Zbl
8. : Brownian motion and martingales in analysis, Belmont CA: Wadsworth 1984. | MR | Zbl
9. : Tables of integral transforms, Vol. 1. New York: McGraw-Hill 1954. | Zbl
10. , : Excursions of Brownian motion and Bessel processes. Z. Wahrscheinlichkeitstheor. Verw. Geb. 47, 83-106 (1979). | MR | Zbl
11. , : On a probabilistic interpretation for the Riesz transforms. In: Fukushima, M. (ed) Functional analysis in Markov processes (pp. 199-203). New York: Springer 1982. | MR | Zbl
12. , : Les transformations de Riesz et les integrales stochastiques. C.R. Acad. Sci.Paris 289, 13-16 (1979). | MR | Zbl
13. : Littlewood-Paley-Stein theory and Bessel diffusions. Bull. Sci. Math. 111, 313-331 (1987). | MR | Zbl
14. : On Fourier multiplier transformations of Banach-valued functions. Trans. Amer. Math. Soc. 285, 739-757 (1984). | MR | Zbl
15. : Démonstration probabiliste de certaines inégalités de Littlewood-Paley. In: Meyer, P.-A. (ed.) Séminaire de Probabilités X (pp. 125-183). New York: Springer 1976. | Numdam | MR | Zbl
16. : Factorization theory and Ap weights. Am. J. Math. 106, 533-547 (1984). | MR | Zbl
17. : Singular integrals and differentiability properties of functions. Princeton : Princeton Univ. Press 1970. | MR | Zbl
18. : Real variable methods in harmonic analysis. New York: Academic Press 1986. | MR | Zbl
19. : Aspects of probabilistic Littlewood-Paley theory. J. Funct. Anal. 38, 25-60 (1980). | MR | Zbl
