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Spherical maximal operator on symmetric spaces, an end point estimate |
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| Authors: | PK Ratnakumar |
| Institution: | Dept. of Mathematics and Statistics, University of Hyderabad, P. O. Central University, Hyderabad 500 046, India |
| Abstract: | We establish an endpoint weak-type maximal inequality for the spherical maximal operator applied to radial functions on real rank-1 symmetric spaces of dimension n ≥ 2. More explicitly, we prove the Lorentz space estimate  |
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