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Weak type estimates for some maximal operators on Hardy spaces

✍ Scribed by Ya Ryong Heo

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

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✦ Synopsis

Abstract

We show that the lacunary maximal operator associated to a compact smooth hypersurface on which the Gaussian curvature nowhere vanishes to infinite order maps the standard Hardy space H ^1^ to L ^1,∞^ . (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

Weak type estimates for Calderón-Zygmund
Weak type estimates for Calderón-Zygmund operators on Herz spaces at critical indexes
✍ Yasuo Komori 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 135 KB

## Abstract We define weak Herz spaces $ \dot K ^{\alpha , p, \infty} \_{q} $(ℝ^__n__^) which are the weak version of the ordinary Herz spaces $ \dot K ^{\alpha , p} \_{q} $(ℝ^__n__^). We consider the boundedness of Calderón‐Zygmund operators from $ \dot K ^{\alpha , p} \_{q} $ to $ \dot K ^{\alpha