Uncertainty principles and weighted norm inequalities
نویسندگان
چکیده
Abstract. The focus of this paper is weighted uncertainty principle inequalities in harmonic analysis. We start by reviewing the classical uncertainty principle inequality, and then proceed to extensions and refinements by modifying two major results necessary to prove the classical case. These are integration by parts and the Plancherel theorem. The modifications are made by means of generalizations of Hardy’s inequality and weighted Fourier transform norm inequalities, respectively. Finally, the traditional Hilbert space formulation is given in order to construct new examples.
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