Mixed Norm Inequalities for Directional Operators Associated to Potentials |
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| Authors: | Duoandikoetxea Javier Oruetxebarria Osane |
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| Affiliation: | (1) Departamento de Matemáticas, Universidad del País Vasco-Euskal Herriko Unibertsitatea, Apartado 644, 48080 Bilbao, Spain |
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| Abstract: | We study mixed norm inequalities for directional operators which appear applying the method of rotations to homogeneous operators with variable kernel and with the homogeneity of Riesz potentials. The results are sharp for a range of values of the parameter and for all its values when the inequalities are restricted to radial functions. |
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| Keywords: | potential operators mixed norm inequalities X-ray transform |
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