Oscillation and variation for the Gaussian Riesz transforms and Poisson integral
نویسندگان
چکیده
منابع مشابه
Oscillation and variation for the Gaussian Riesz transforms and Poisson integral . ∗
For the family of truncations of the gaussian Riesz transforms and Poisson integral we study their rate of convergence through the oscillation and variation operators. More precisely, we search for their Lp(dγ)−boundedness properties, being dγ the Gauss measure. We achieve our results by looking at the oscillation and variation operators from a vector valued point of view.
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 2005
ISSN: 0308-2105,1473-7124
DOI: 10.1017/s0308210500003772