Journal of Mathematical Sciences

, Volume 182, Issue 5, pp 663–673

Gagliardo–Nirenberg inequality for maximal functions measuring smoothness


DOI: 10.1007/s10958-012-0771-x

Cite this article as:
Lokharu, E. J Math Sci (2012) 182: 663. doi:10.1007/s10958-012-0771-x

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.

Copyright information

© Springer Science+Business Media, Inc. 2012

Authors and Affiliations

  1. 1.St.Petersburg State UniversitySt.PetersburgRussia