Journal of Mathematical Sciences

, Volume 182, Issue 5, pp 663-673

First online:

Gagliardo–Nirenberg inequality for maximal functions measuring smoothness

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We prove a Galiardo–Nirenberg type pointwise interpolation inequality for special maximal functions which measure smoothness in the multidimensional case. It turns out that the classsical inequality follows from this one; it is also possible to use naturally BMO norms in the inequality. Bibliography: 6 titles.