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arXiv · 1802.06531

Hardy-type and Heisenberg's inequality in Morrey spaces

Hendra Gunawan·Denny Ivanal Hakim·Eiichi Nakai·Yoshihiro Sawano
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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 spaces.

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Hendra Gunawan, Denny Ivanal Hakim, Eiichi Nakai, Yoshihiro Sawano. 2018-02-19. Hardy-type and Heisenberg's inequality in Morrey spaces. https://doi.org/10.1017/s0004972717001216

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