It is shown that for O < p % I , the trigonometric polynomials are dense in HP,, the spare of B-valued harmonic functions with non-tangential maximal function in L,, if a.nd only if the BANACH space B has the RADOX-NIKODYX property (R.S.P.). This extends lrrioivn result,s for 1 < p -= -. We also sho
β¦ LIBER β¦
Some new classes of Hardy spaces
β Scribed by Yong-Zhuo Chen; Ka-Sing Lau
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 898 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0022-1236
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## 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,__β__^ . (Β© 2007 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
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