Fractional Hardy inequalities and visibility of the boundary

DOI10.4064/sm224-1-3zbMath1325.46040arXiv1305.4616OpenAlexW3098202383WikidataQ109747038 ScholiaQ109747038MaRDI QIDQ2928194

Heli Tuominen, Antti V. Vähäkangas, Juha Lehrbäck, Lizaveta Ihnatsyeva

Publication date: 6 November 2014

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4616

zbMATH Keywords

fractional Sobolev spacesvisibilityHausdorff contentfractional Hardy inequalityextension operatorsuniform fatness

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15)

Related Items (12)

The fractional Schrödinger equation with general nonnegative potentials. The weighted space approach ⋮ On density of compactly supported smooth functions in fractional Sobolev spaces ⋮ Fractional Poincaré and localized Hardy inequalities on metric spaces ⋮ On the Hardy–Sobolev Inequalities ⋮ Muckenhoupt \(A_p\)-properties of distance functions and applications to Hardy-Sobolev-type inequalities ⋮ A new fractional order Poincare's inequality with weights ⋮ Beyond local maximal operators ⋮ A note on fractional \(p\)-Laplacian problems with singular weights ⋮ The Kato square root problem for mixed boundary conditions ⋮ Strong maximum principles for fractional elliptic and parabolic problems with mixed boundary conditions ⋮ Accessible parts of the boundary for domains with lower content regular complements ⋮ Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On fractional Poincaré inequalities
• Hitchhiker's guide to the fractional Sobolev spaces
• The equivalence between pointwise Hardy inequalities and uniform fatness
• Hardy inequalities for fractional integrals on general domains
• A fractional order Hardy inequality
• Sharp trace Hardy-Sobolev-Maz'ya inequalities and the fractional Laplacian
• Hardy inequalities in Triebel-Lizorkin spaces. II: Aikawa dimension
• Fractional Hardy inequality with a remainder term
• 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
• Pointwise Hardy inequalities and uniformly fat sets
• Weighted pointwise Hardy inequalities
• Uniformly Fat Sets
• The Degree of Regularity of a Quasiconformal Mapping
• Hardy inequalities in Triebel--Lizorkin spaces
• Sharp Fractional Hardy Inequalities in Half-Spaces
• Weighted Hardy inequalities beyond Lipschitz domains
• Fractional Hardy-type inequalities in domains with uniformly fat complement
• A framework for fractional Hardy inequalities

This page was built for publication: Fractional Hardy inequalities and visibility of the boundary