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Vietnam Journal of Mathematics 35:4(2007) 415-427

 A Gagliardo–Nirenberg Inequality for Orlicz and Lorentz Spaces on Rⁿ₊

Ha Huy Bang and Mai Thi Thu

Abstract.  In this paper, essentially developing the method of [1 - 4, 15], we give an extension of the Gagliardo-Nirenberg inequality to Orlicz and Lorentz spaces defined on Rⁿ_+.

2000 Mathematics Subject Classification: 26D10, 46E30.

Keywords: Gagliardo-Nirenberg inequality, inequality for derivatives, Orlicz-type spaces.

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Published by Springer since January 2013