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Estimates for maximal functions along hypersurfaces

✍ Scribed by Hasse Carlsson; Peter Sjögren

Book ID
112741329
Publisher
Springer Netherlands
Year
1987
Tongue
English
Weight
590 KB
Volume
25
Category
Article
ISSN
0004-2080

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Maximal Functions over Hypersurfaces wit
Maximal Functions over Hypersurfaces with Flat Points
✍ Kyung Soo Rim 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 108 KB

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