Hardy's inequalities for Sobolev functions
From MaRDI portal
Publication:1372887
DOI10.4310/MRL.1997.v4.n4.a6zbMath0909.42014MaRDI QIDQ1372887
Publication date: 22 March 1999
Published in: Mathematical Research Letters (Search for Journal in Brave)
Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
Related Items (40)
A note on Hajłasz-Sobolev spaces on fractals ⋮ Equilibria of Charged Hyperelastic Solids ⋮ Equivalence and self-improvement of \(p\)-fatness and Hardy's inequality, and association with uniform perfectness ⋮ On the variational limit of a class of nonlocal functionals related to peridynamics ⋮ Fractional and hypersingular operators in variable exponent spaces on metric measure spaces ⋮ On density of compactly supported smooth functions in fractional Sobolev spaces ⋮ Accessible parts of boundary for simply connected domains ⋮ Existence of Variational Solutions in Noncylindrical Domains ⋮ Characterisation of zero trace functions in higher-order spaces of Sobolev type ⋮ Fractional Sobolev spaces with power weights ⋮ Characterization of functions with zero traces via the distance function and Lorentz spaces ⋮ Pointwise Hardy inequalities and uniformly fat sets ⋮ The discrete maximal operator in metric spaces ⋮ Boundary regularity for parabolic systems in convex domains ⋮ Pointwise gradient estimates and Sobolev boundedness for commutators of fractional new maximal operators ⋮ Hardy-Sobolev type inequalities with sharp constants in Carnot-Carathéodory spaces ⋮ Sobolev regularity for commutators of the fractional maximal functions ⋮ The equivalence between pointwise Hardy inequalities and uniform fatness ⋮ Morrey global bounds and quasilinear Riccati type equations below the natural exponent ⋮ Weighted Hardy inequalities beyond Lipschitz domains ⋮ The obstacle problem for the porous medium equation ⋮ Regularity of commutators of maximal operators with Lipschitz symbols ⋮ Regularity of local bilinear maximal operator ⋮ Analysis of the parallel Schwarz method for growing chains of fixed-sized subdomains. III. ⋮ Weighted Hardy inequalities and the size of the boundary ⋮ Regularity of the local fractional maximal function ⋮ Characterizations for the Hardy Inequality ⋮ Regularity and continuity of local multilinear maximal type operators ⋮ Regularity for commutators of the local multilinear fractional maximal operators ⋮ Maximal Functions in Sobolev Spaces ⋮ Self-improvement of pointwise Hardy inequality ⋮ Embeddings of variable Hajłasz-Sobolev spaces into Hölder spaces of variable order ⋮ Self-improvement of weighted pointwise inequalities on open sets ⋮ Analysis of the Schwarz Domain Decomposition Method for the Conductor-like Screening Continuum Model ⋮ Differentiability of logarithmic Besov functions in terms of capacities ⋮ Regularity of local multilinear fractional maximal and strong maximal operators ⋮ Commutators of local bilinear maximal operator with Sobolev symbols ⋮ Fat sets and pointwise boundary estimates for \(p\)-harmonic functions in metric spaces ⋮ Sobolev boundedness and continuity for commutators of the local Hardy–Littlewood maximal function ⋮ ON THE VARIATIONAL CONSTANT ASSOCIATED TO THE -HARDY INEQUALITY
This page was built for publication: Hardy's inequalities for Sobolev functions
