Sharp fractional Hardy inequalities with a remainder for \(1 < p < 2\)

DOI10.1016/j.jfa.2024.110373arXiv2301.11263OpenAlexW4391836513MaRDI QIDQ6119820

Michał Kijaczko, Bartłomiej Dyda

Publication date: 25 March 2024

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

Full work available at URL: https://arxiv.org/abs/2301.11263

zbMATH Keywords

remainderweightfractional Hardy inequalityfractional Hardy-Sobolev-Maz'ya inequalitynon-linear ground state representation

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Systems of functional equations and inequalities (39B72)

Cites Work

• Hardy-Sobolev-Maz'ya inequalities for arbitrary domains
• A density property for fractional weighted Sobolev spaces
• Hardy inequalities for fractional integrals on general domains
• Nonlinear ground state representations and sharp Hardy inequalities
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• The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three-dimensional upper half space
• A fractional Hardy-Sobolev-Maz’ya inequality on the upper halfspace
• The best constant in a fractional Hardy inequality
• Fractional Hardy–Sobolev–Maz'ya inequality for domains
• Embedding theorems for Lipschitz and Lorentz spaces on lower Ahlfors regular sets
• Fractional Hardy–Sobolev type inequalities for half spaces and John domains
• Sharp Fractional Hardy Inequalities in Half-Spaces
• A framework for fractional Hardy inequalities
• Fractional Sobolev spaces with power weights
• Weighted fractional Sobolev spaces as interpolation spaces in bounded domains
• Sharp weighted fractional Hardy inequalities
• A non-local quasi-linear ground state representation and criticality theory

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