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A weak type inequality for generalized maximal operators on spaces of homogeneous type

✍ Scribed by Byung-Oh Park; Бун-О Парк

Book ID
111706397
Publisher
Springer
Year
1999
Tongue
English
Weight
289 KB
Volume
25
Category
Article
ISSN
0133-3852

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📜 SIMILAR VOLUMES

Weak type estimates for some maximal ope
Weak type estimates for some maximal operators on Hardy spaces
✍ Ya Ryong Heo 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB

## 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)

The Sharp Maximal Function on Spaces of
The Sharp Maximal Function on Spaces of Generalized Homogeneous Type
✍ Qinsheng Lai 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 383 KB

The notion of spaces of a generalized homogeneous type is developed in [2]. In this paper, we introduce the sharp maximal function in this general setting, and establish the equivalence of the L p norms between the sharp maximal function and the Hardy Littlewood maximal function, as well the John Ni