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Equivalent definition of some weighted Hardy spaces

✍ Scribed by V. M. Dil’nyi

Publisher
Springer
Year
2008
Tongue
English
Weight
98 KB
Volume
60
Category
Article
ISSN
0041-5995

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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 𝒜~__p__~(__A__) be the class of product Muckenhoupt weights on ℝ^__n__^ × ℝ^__m__^ for __p__ ∈ (1, ∞]. When __p__ ∈ (1, ∞) and __w__ ∈ 𝒜~__p__~(__A__), the auth