Riesz transforms in one dimension
نویسندگان
چکیده
منابع مشابه
Dimension free estimates for the oscillation of Riesz transforms
In this paper we establish dimension free Lp(Rn, |x|α) norm inequalities (1 < p < ∞) for the oscillation and variation of the Riesz transforms in Rn. In doing so we find Ap−weighted norm inequalities for the oscillation and the variation of the Hilbert transform in R. Some weighted transference results are also proved. INTRODUCTION Throughout (X,F , μ) will denote an arbitrary σ−finite measure ...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2009
ISSN: 0022-2518
DOI: 10.1512/iumj.2009.58.3514