Certain identities on derivatives of radial homogeneous and logarithmic functions

zbMath1204.26019arXiv1606.06155MaRDI QIDQ986018

Yoshihiro Sawano, Tokushi Sato, Kei Morii

Publication date: 10 August 2010

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06155

zbMATH Keywords

exact valuenorm of derivatives in higher dimensionsradial homogeneous function

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Continuity and differentiation questions (26B05)

Related Items (4)

Best constants for two families of higher order critical Sobolev embeddings ⋮ Lower bound for sharp constants of Brezis-Gallouët-Wainger type inequalities in higher-order critical Sobolev spaces on bounded domains ⋮ The best constant in the embedding of \(W^{N,1}(\mathbb{R}^N)\) into \(L^{\infty }(\mathbb {R} ^{N})\) ⋮ Higher-order interpolation inequalities with weights for radial functions

Cites Work

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• Sharp constants of Brézis-Gallouët-Wainger type inequalities with a double logarithmic term on bounded domains in Besov and Triebel-Lizorkin spaces
• Lower bound for sharp constants of Brezis-Gallouët-Wainger type inequalities in higher-order critical Sobolev spaces on bounded domains
• Brézis-Gallouët-Wainger type inequality with a double logarithmic term in the Hölder space: its sharp constants and extremal functions
• Brézis-Gallouët-Wainger inequality with a double logarithmic term on a bounded domain and its sharp constants
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Nonlinear Schrödinger evolution equations

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