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Parametrized Littlewood–Paley operators on Hardy and weak Hardy spaces

✍ Scribed by Yong Ding; Shanzhen Lu; Qingying Xue

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
198 KB
Volume
280
Category
Article
ISSN
0025-584X

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✦ Synopsis

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, p) for 1 < p < 2, respectively. This results are substantial improvement and extension of some known results. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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