Improved Poincar\'e inequalities in fractional Sobolev spaces

zbMath1423.26027arXiv1705.04227MaRDI QIDQ4961527

Irene Drelichman, Ricardo G. Durán

Publication date: 25 October 2018

Full work available at URL: https://arxiv.org/abs/1705.04227

zbMATH Keywords

weighted Sobolev spacesPoincaré inequalitySobolev inequalityJohn domains\(s\)-John domainsfractional normscusp domains

Mathematics Subject Classification ID

Topological linear spaces of test functions, distributions and ultradistributions (46F05) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (8)

Weighted fractional Sobolev spaces as interpolation spaces in bounded domains ⋮ Bilevel optimal parameter learning for a high-order nonlocal multiframe super-resolution problem ⋮ Weighted discrete Hardy inequalities on trees and applications ⋮ Estimates on translations and Taylor expansions in fractional Sobolev spaces ⋮ A note on generalized Poincaré-type inequalities with applications to weighted improved Poincaré-type inequalities ⋮ A symmetry result in \(\mathbb{R}^2\) for global minimizers of a general type of nonlocal energy ⋮ On the weighted fractional Poincar\'e-type inequalities ⋮ The Bourgain-Brézis-Mironescu formula in arbitrary bounded domains

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