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The boundedness of multidimensional hardy operators in weighted variable Lebesgue spaces

✍ Scribed by R. A. Bandaliev


Publisher
Springer
Year
2010
Tongue
English
Weight
183 KB
Volume
50
Category
Article
ISSN
0363-1672

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Weighted anisotropic product Hardy space
✍ Marcin Bownik; Baode Li; Dachun Yang; Yuan Zhou πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 577 KB

## 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