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H1–L1 Boundedness of Riesz Transforms on Riemannian Manifolds and on Graphs

✍ Scribed by Emmanuel Russ


Book ID
110299240
Publisher
Springer Netherlands
Year
2001
Tongue
English
Weight
167 KB
Volume
14
Category
Article
ISSN
0926-2601

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L1Estimates for Maximal Functions and Ri
✍ Takeshi Kawazoe 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 481 KB

Let G be a real rank one semisimple Lie group and K a maximal compact subgroup of G. Radial maximal operators for suitable dilations, the heat and Poisson maximal operators, and the Riesz transform, which act on K-bi-invariant functions on G, satisfy the L p -norm inequalities for p>1 and a weak typ