A dimension-free estimate on $$L^2$$ for the maximal Riesz transform in terms of the Riesz transform
نویسندگان
چکیده
We prove a dimension-free estimate for the \(L^2({\mathbb {R}}^d)\) norm of maximal truncated Riesz transform in terms transform. Consequently, vector transforms has on {R}}^d).\) also show that function all \(L^p({\mathbb spaces, \(1<p<\infty .\)
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2022
ISSN: ['1432-1807', '0025-5831']
DOI: https://doi.org/10.1007/s00208-022-02417-5