THE HARDY AND HEISENBERG INEQUALITIES IN MORREY SPACES
What is it about?
[Abstract] We use the Morrey norm estimate for the imaginary power of the Laplacian to prove an interpolation inequality for the fractional power of the Laplacian on Morrey spaces. We then prove a Hardy-type inequality and use it together with the interpolation inequality to obtain a Heisenberg-type inequality in Morrey space.
Why is it important?
Heisenberg's inequality is one of the most important inequality in mathematics as well as in physics. The original inequality was proved in L^2 spaces, and then extended to L^p spaces. In this paper, we prove that the inequality also holds in Morrey spaces.
The following have contributed to this page: Hendra Gunawan
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