For n G 4, let S be a flat hypersurface in ޒ n , and let d s d , where ϱ Ž n . g C ޒ and is the surface area measure on S. Then the maximal functions 0 Ž . < Ž . Ž . < Ž n . Mf associated to S and by Mf x s sup H f x y t d , f g S S ޒ , are t ) 0 S ⌽ Ž n . bounded on certain Orlicz spaces L ޒ
Averages over Surfaces with Infinitely Flat Points
✍ Scribed by J.G. Bak
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 453 KB
- Volume
- 129
- Category
- Article
- ISSN
- 0022-1236
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