Probabilistic square functions and a priori estimates
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- by Andrew G. Bennett
- Trans. Amer. Math. Soc. 291 (1985), 159-166
- DOI: https://doi.org/10.1090/S0002-9947-1985-0797052-2
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Abstract:
We obtain a priori estimates for Riesz transforms and their variants, that is, estimates with bounds independent of the dimension of the space and/or the nature of the boundary. The key to our results is to give probabilistic definitions which do not depend on the geometry of the situation for the transformations in question. We then use probabilistic square functions to prove our a priori estimates.References
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Bibliographic Information
- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 291 (1985), 159-166
- MSC: Primary 42B20; Secondary 42A61, 42B25, 60J65
- DOI: https://doi.org/10.1090/S0002-9947-1985-0797052-2
- MathSciNet review: 797052