Interpolation inequalities for maximal functions that measure smoothness

E. E. Lokharu

doi:10.1090/S1061-0022-2013-01241-6

Interpolation inequalities for maximal functions that measure smoothness

E. E. Lokharu

Saint Petersburg State University

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

Abstract

Some new interpolation inequalities are obtained in terms of maximal functions that measure smoothness. The results generalize a wide class of recent and classical inequalities and are valid for functions belonging to larger spaces (such as Triebel spaces).

Original language	English
Pages (from-to)	327-351
Number of pages	25
Journal	St. Petersburg Mathematical Journal
Volume	24
Issue number	2
DOIs	https://doi.org/10.1090/S1061-0022-2013-01241-6
Publication status	Published - 2013
Externally published	Yes

Subject classification (UKÄ)

Mathematical Analysis

Free keywords

Interpolation inequalities
Maximal functions
Sobolev spaces

Access to Document

10.1090/S1061-0022-2013-01241-6

Cite this

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abstract = "Some new interpolation inequalities are obtained in terms of maximal functions that measure smoothness. The results generalize a wide class of recent and classical inequalities and are valid for functions belonging to larger spaces (such as Triebel spaces).",

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KW - Interpolation inequalities

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KW - Sobolev spaces

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DO - 10.1090/S1061-0022-2013-01241-6

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