Quantitative form of certain \(k\)-plane transform inequalities

DOI10.1016/J.JFA.2014.11.014zbMath1311.44005arXiv1205.3251OpenAlexW2963877943MaRDI QIDQ2338946

Alexis Drouot

Publication date: 27 March 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3251

zbMATH Keywords

sharpinequalitiesrefinementconcentration-compactness

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (2)

Stability of trace theorems on the sphere ⋮ Norm estimates for \(k\)-plane transforms and geometric inequalities

Cites Work

• Uniqueness of extremizers for an endpoint inequality of the \(k\)-plane transform
• Sharp constant for a \(k\)-plane transform inequality
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Generalizations of Riesz potentials and \(L^ p\) estimates for certain k- plane transforms
• The sharp Sobolev inequality in quantitative form
• A note on the Sobolev inequality
• \(L^ p\) estimates for certain generalization of k-plane transforms
• Extremizers of a Radon transform inequality
• Some conjectures aboutLp norms of k-plane transforms
• Young’s Inequality Sharpened
• Remainder terms in the fractional Sobolev inequality
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