On weighted fractional integral inequalities

DOI10.1006/jfan.2001.3777zbMath1021.26007OpenAlexW1965082003MaRDI QIDQ5949559

Stefan Eilertsen

Publication date: 12 October 2003

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

Full work available at URL: https://doi.org/10.1006/jfan.2001.3777

zbMATH Keywords

fractional derivativesfractional integral inequalitiesHardy-Rellich type inequalityMaz'ya type inequality

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Fractional derivatives and integrals (26A33) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (15)

Pitt's inequality and the fractional Laplacian: Sharp error estimates ⋮ Some trace Hardy type inequalities and trace Hardy-Sobolev-Maz'ya type inequalities ⋮ Fractional Besov trace/extension-type inequalities via the Caffarelli-Silvestre extension ⋮ Best constants in the Hardy-Rellich inequalities and related improvements ⋮ Sharp Pitt's inequality and Beckner's logarithmic uncertainty principle for the Weinstein transform ⋮ Pitt's inequality and logarithmic uncertainty principle for the Clifford-Fourier transform ⋮ Hardy-Littlewood-Sobolev and Stein-Weiss inequalities and integral systems on the Heisenberg group ⋮ Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in \(L^2\) ⋮ Weighted inequalities and Stein-Weiss potentials ⋮ The Hardy-Rellich inequality and uncertainty principle on the sphere ⋮ Extensions of the vector-valued Hausdorff-Young inequalities ⋮ Pitt and Boas inequalities for Fourier and Hankel transforms ⋮ On estimates of biharmonic functions on Lipschitz and convex domains ⋮ Pitt's inequality with sharp convolution estimates ⋮ On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach

Cites Work

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• Sharp constants in the Hardy-Rellich inequalities
• On weighted positivity and the Wiener regularity of a boundary point for the fractional Laplacian
• Schrödinger operators with l l/2w(Rl) -potentials
• The Hardy–Rellich inequality for polyharmonic operators
• On the wiener type regularity of a boundary point for the polyharmonic operator

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