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The hardy and heisenberg inequalities in morrey spaces
- Source :
- Bulletin of the Australian Mathematical Society
-
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. © 2018 Australian Mathematical Publishing Association Inc.
Details
- Database :
- OAIster
- Journal :
- Bulletin of the Australian Mathematical Society
- Publication Type :
- Electronic Resource
- Accession number :
- edsoai.on1076916852
- Document Type :
- Electronic Resource