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Boundedness of Hausdorff operators on some product Hardy type spaces

✍ Scribed by Jie-cheng Chen; Da-shan Fan; Chun-jie Zhang

Book ID
113089980
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
2012
Tongue
English
Weight
211 KB
Volume
27
Category
Article
ISSN
1005-1031

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## Abstract Let __A__~1~ and __A__~2~ be expansive dilations, respectively, on ℝ^__n__^ and ℝ^__m__^. Let __A__ ≑ (__A__~1~, __A__~2~) and π’œ~__p__~(__A__) be the class of product Muckenhoupt weights on ℝ^__n__^ Γ— ℝ^__m__^ for __p__ ∈ (1, ∞]. When __p__ ∈ (1, ∞) and __w__ ∈ π’œ~__p__~(__A__), the auth