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A new proof of an inequality of Littlewood and Paley. (English) Zbl 0665.30035

The author presents a new method for proving the classical inequality of Littlewood and Paley: \[ \iint | f'|^ p(1-| z|)^{p- 1}dxdy\leq C\| f\|^ p,\quad f\in H^ p,\quad p\geq 2. \] The proposed method makes it possible to obtain some generalizations of this inequality.
Reviewer: A.Zabulionis

MSC:

30D55 \(H^p\)-classes (MSC2000)
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References:

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