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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.… (More)
Abstract We use simple one-dimensional operators to bound pointwise the spherical maximal operator acting on radial functions. With this bounds we obtain weighted inequalities, which are sharp for… (More)
(November 14, 2007)AbstractWe de ne potential operators on hyperplanes and give sharp mixed norm inequalities forthem. One of the operators coincides with the Radon transform for which mixed… (More)
One of the main goals of university education is to provide the students with the specialized communication patterns shared by experts in a disciplinary field, i.e. specialized text genres and… (More)
We prove sharp mixed norm inequalities for the k-plane transform when acting on radial functions and for potential-like operators supported in k-planes. We also study the Hardy-Littlewood maximal… (More)