The Littlewood-Paley g-function Associated with the Spherical Mean Operator |
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| Authors: | Hleili Khaled Omri Slim |
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| Affiliation: | 1. Department of Mathematics and Informatics, National Institute of Applied Science and Technology of Tunis, Centre Urbain Nord, BP 676, 1080, Tunis Cedex, Tunisia
2. Preparatory Institute of Engineers Study, Campus Universitaire, Merazka, 8000, Nabeul, Tunisia
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| Abstract: | First we study the Gauss and Poisson semigroups connected with the spherical mean operator. Next, we define and study the Littlewood– Paley g-function associated with the spherical mean operator for which we prove the L p -boundedness for ${p in]1, 2]}$ . |
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