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Note on hypothesis K of hardy and littlewood

✍ Scribed by Chowla, S.

Book ID: 112976358
Publisher: Springer-Verlag
Year: 1935
Tongue: English
Weight: 45 KB
Volume: 1
Category: Article
ISSN: 0370-0089
DOI: 10.1007/bf03035612

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## Abstract In this paper, we give the boundedness of the parametrized Littlewood–Paley function $ \mu ^{\*,\rho}\_{\lambda} $ on the Hardy spaces and weak Hardy spaces. As the corollaries of the above results, we prove that $ \mu ^{\*,\rho}\_{\lambda} $ is of weak type (1, 1) and of type (__p__, _