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Vietnam Journal of Mathematics 33:2 (2005) 207-213

 A Gagliardo-Nirenberg Inequality for Lorentz Spaces

Mai Thi Thu

Abstract.  In this paper, essentially developing the method of [1] (H. H. Bang and M. T. Thu, A Gagliardo-Niremberg inequality for Orlicz spaces, East J. On Approximations 10 (2004) 371--377) and [10] (E. M. Stein, Functions of exponential type, Ann. Math. 65 (1957) 582--592), we give an extension of the Gagliardo-Nirenberg inequality to Lorentz spaces.

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