Gagliardo-Nirenberg inequality for maximal functions measuring smoothness

E. Lokharu

doi:10.1007/s10958-012-0771-x

Gagliardo-Nirenberg inequality for maximal functions measuring smoothness

E. Lokharu

Saint Petersburg State University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	663-673
Number of pages	11
Journal	Journal of Mathematical Sciences
Volume	182
Issue number	5
DOIs	https://doi.org/10.1007/s10958-012-0771-x
Publication status	Published - 2012 May
Externally published	Yes

Subject classification (UKÄ)

Mathematical Analysis

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10.1007/s10958-012-0771-x

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abstract = "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.",

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Gagliardo-Nirenberg inequality for maximal functions measuring smoothness

Abstract

Subject classification (UKÄ)

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