Moser type inequalities for higher-order derivatives in Lorentz spaces

DOI10.1007/s11118-008-9085-5zbMath1152.46019OpenAlexW1992026598MaRDI QIDQ930379

Angela Alberico

Publication date: 30 June 2008

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-008-9085-5

zbMATH Keywords

higher-order derivativesLorentz-Sobolev spacesMoser inequalities

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (18)

Estimate for concentration level of the Adams functional and extremals for Adams-type inequality ⋮ Trudinger-Moser inequalities on hyperbolic spaces under Lorentz norms ⋮ Adams' inequality and limiting Sobolev embeddings into Zygmund spaces ⋮ A two-weight Sobolev inequality for Carnot-Carathéodory spaces ⋮ Sharp second-order Adams inequalities in Lorentz-Sobolev spaces ⋮ Concentration-compactness principle associated with Adams' inequality in Lorentz-Sobolev space ⋮ Fractional Sobolev, Moser-Trudinger, Morrey-Sobolev inequalities under Lorentz norms ⋮ Quantitative estimates of embedding constants for Gagliardo-Nirenberg inequalities on critical Sobolev-Besov-Lorentz spaces ⋮ Sharp exponential inequalities for the Ornstein-Uhlenbeck operator ⋮ Fractional Adams-Moser-Trudinger type inequalities ⋮ Moser--Trudinger trace inequalities ⋮ Trudinger-Moser inequalities on harmonic \(A N\) groups under Lorentz norms ⋮ Higher order Adams’ inequality with the exact growth condition ⋮ Conductor Inequalities and Criteria for Sobolev-Lorentz Two-Weight Inequalities ⋮ Moser inequalities in Gauss space ⋮ Affine Moser-Trudinger and Morrey-Sobolev inequalities ⋮ Moser-type trace inequalities for generalized Lorentz-Sobolev spaces ⋮ Concentration-compactness principle for Moser-type inequalities in Lorentz-Sobolev spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A sharp inequality of J. Moser for higher order derivatives
• Extremal functions for the Trudinger-Moser inequality in 2 dimensions
• Sobolev type embeddings in the limiting case
• Sharp borderline Sobolev inequalities on compact Riemannian manifolds
• Moser-type inequalities in Lorentz spaces
• Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
• Moser-type inequalities for solutions of linear elliptic equations with lower-order terms
• Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings
• Convolution operators and L(p, q) spaces
• Symmetrization in a class of first-order Hamilton- Jacobi equations
• On optimization problems with prescribed rearrangements
• Sharp sobolev embeddings and related hardy inequalities: The critical case
• Moser-Trudinger inequalities without boundary conditions and isoperimetric problems

This page was built for publication: Moser type inequalities for higher-order derivatives in Lorentz spaces