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Zbl 1143.47023
Lerner, A.K.; Liflyand, E.
Multidimensional Hausdorff operators on the real Hardy space.
(English)
[J] J. Aust. Math. Soc. 83, No. 1, 79-86 (2007). ISSN 1446-7887; ISSN 1446-8107/e

The boundedness of a Hausdorff type operator of the form $$({\cal H}f)(x)= \int_{\Bbb R^n} \Phi(u)f(xA(u))\,du$$ on the real Hardy space is proved.
[Dumitrŭ Popa (Constanţa)]
MSC 2000:
*47B38 Operators on function spaces
42B30 Hp-spaces (Fourier analysis)
46E15 Banach spaces of functions defined by smoothness properties

Keywords: Hausdorff operators; Hardy space

Cited in: Zbl 1261.42035

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