## 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,__โ__^ . (ยฉ 2007 WILEYโVCH Verlag GmbH & Co. KGaA, Weinheim)
Norm estimates for a Kakeya-type maximal operator
โ Scribed by Themis Mitsis
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 120 KB
- Volume
- 278
- Category
- Article
- ISSN
- 0025-584X
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โฆ Synopsis
Abstract
We prove L^p^ โ L^q^ estimates for the 2โdimensional analog of the Kakeya maximal function. (ยฉ 2005 WILEYโVCH Verlag GmbH & Co. KGaA, Weinheim)
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