Interpolation inequalities between lorentz space and BMO: the endpoint case (L-1, L-infinity, BMO)
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Texas State University
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Abstract
We prove interpolation inequalities by means of the Lorentz norm, BMO norm, and the fractional Sobolev norm. In particular, we obtain an interpolation inequality for (L-1,L-infinity ,BMO), that we call the endpoint case.
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Gagliardo-Nirenberg inequality, Lorentz spaces, BMO space, fractional Sobolev spaces
Citation
Electronic Journal of Differential Equations. 2019, art. no. 56.