Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Probabilistic square functions and a priori estimates


Author: Andrew G. Bennett
Journal: Trans. Amer. Math. Soc. 291 (1985), 159-166
MSC: Primary 42B20; Secondary 42A61, 42B25, 60J65
MathSciNet review: 797052
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 42B20, 42A61, 42B25, 60J65

Retrieve articles in all journals with MSC: 42B20, 42A61, 42B25, 60J65


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1985-0797052-2
PII: S 0002-9947(1985)0797052-2
Article copyright: © Copyright 1985 American Mathematical Society