By Alberto Fiorenza and others

The classical Gagliardo-Nirenberg interpolation inequality is a well-known estimate which gives, in particular, an estimate for the Lebesgue norm of intermediate derivatives of functions in Sobolev spaces. We present an extension of this estimate into the scale of the general rearrangement-invariant Banach function spaces with the proof based on the... Show more

December 11, 2018

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Gagliardo-Nirenberg Inequality for rearrangement-invariant Banach function spaces

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