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Vietnam Journal of Mathematics 35:4(2007) 415-427
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A Gagliardo–Nirenberg Inequality for Orlicz
and Lorentz Spaces on $\mathbb R^n_+$
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Ha Huy Bang and Mai Thi Thu
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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 $\Bbb R^n_+$.
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2000 Mathematics Subject Classification: 26D10, 46E30.
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Keywords: Gagliardo-Nirenberg inequality, inequality for
derivatives, Orlicz-type spaces.
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