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MR2822534 26D10 (31B35 35A23 41A17 46E35)
Lokharu, E. È. The Gagliardo-Nirenberg inequality for maximal functions that measure smoothness. (Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 389 (2011), Issledovaniya po Lineĭnym Operatoram i Teorii Funktsiĭ. 38, 143--161, 287; translation in J. Math. Sci. (N.Y.) 182 (2012), no. 5, 663–673
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