A Leray-Trudinger inequality

G. Psaradakis; D. Spector

doi:10.1016/j.jfa.2015.04.007

A Leray-Trudinger inequality

G. Psaradakis^*, D. Spector

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

We consider a multidimensional version of an inequality due to Leray as a substitute for Hardy's inequality in the case p=n≥2. In this paper we provide an optimal Sobolev-type improvement of this substitute, analogous to the corresponding improvements obtained for p=2<n in S. Filippas and A. Tertikas (2002) [16], and for p>n≥1 in G. Psaradakis (2012) [26].

Original language	English
Pages (from-to)	215-228
Number of pages	14
Journal	Journal of Functional Analysis
Volume	269
Issue number	1
DOIs	https://doi.org/10.1016/j.jfa.2015.04.007
Publication status	Published - 2015 Jul 1
Externally published	Yes

Keywords

Borderline sobolev embedding
Hardy inequality
Leray potential

ASJC Scopus subject areas

Analysis

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10.1016/j.jfa.2015.04.007

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abstract = "We consider a multidimensional version of an inequality due to Leray as a substitute for Hardy's inequality in the case p=n≥2. In this paper we provide an optimal Sobolev-type improvement of this substitute, analogous to the corresponding improvements obtained for p=2n≥1 in G. Psaradakis (2012) [26].",

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AU - Spector, D.

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AB - We consider a multidimensional version of an inequality due to Leray as a substitute for Hardy's inequality in the case p=n≥2. In this paper we provide an optimal Sobolev-type improvement of this substitute, analogous to the corresponding improvements obtained for p=2n≥1 in G. Psaradakis (2012) [26].

KW - Borderline sobolev embedding

KW - Hardy inequality

KW - Leray potential

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JF - Journal of Functional Analysis

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A Leray-Trudinger inequality

Abstract

Keywords

ASJC Scopus subject areas

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