Trace Hardy-Sobolev-Maz'ya inequalities on half space and sharp constant in dimension two
DOI10.1016/j.jmaa.2022.126488zbMath1501.46033OpenAlexW4284967344MaRDI QIDQ2166433
Publication date: 24 August 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126488
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Elliptic equations and elliptic systems (35J99) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Cites Work
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- A Hardy-Moser-Trudinger inequality
- On Lie groups and hyperbolic symmetry -- from Kunze-Stein phenomena to Riesz potentials
- A sharp Trudinger-Moser inequality on any bounded and convex planar domain
- Fractional Laplacian in conformal geometry
- Hardy-Sobolev-Maz'ya inequalities for arbitrary domains
- Some constructions for the fractional Laplacian on noncompact manifolds
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Critical Hardy--Sobolev inequalities
- Best constant in Sobolev inequality
- An endpoint estimate for the Kunze-Stein phenomenon and related maximal operators
- Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension
- Best constants for Sobolev inequalities for higher order fractional derivatives
- Sharp trace Hardy-Sobolev-Maz'ya inequalities and the fractional Laplacian
- Hardy-Adams inequalities on \(\mathbb{H}^2 \times \mathbb{R}^{n-2} \)
- Hardy-Sobolev-Maz'ya inequalities for polyharmonic operators
- Symmetry in Fourier analysis: Heisenberg group to Stein-Weiss integrals
- Green's functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz'ya inequalities on half spaces
- Higher order Brezis-Nirenberg problem on hyperbolic spaces: existence, nonexistence and symmetry of solutions
- Sharp Hardy-Sobolev-Maz'ya, Adams and Hardy-Adams inequalities on the Siegel domains and complex hyperbolic spaces
- Sharp Hardy-Trudinger-Moser inequalities in any \(N\)-dimensional hyperbolic spaces
- Factorizations and Hardy's type identities and inequalities on upper half spaces
- Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four
- On existence of mimimizers for the Hardy-Sobolev-Maz'ya inequality
- Moser--Trudinger trace inequalities
- The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three-dimensional upper half space
- Some remarks on convolution operators and \(L(p,q)\) spaces
- On the Grushin operator and hyperbolic symmetry
- Optimal Sobolev trace embeddings
- A sharp trace inequality for functions of bounded variation in the ball
- On a semilinear elliptic equation in Hn
- A Collection of Sharp Dilation Invariant Integral Inequalities for Differentiable Functions
- Heat Kernel Bounds on Hyperbolic Space and Kleinian Groups
- The Heat Kernel on Hyperbolic Space
- Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions
- Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz'ya inequalities on half spaces
- An Extension Problem Related to the Fractional Laplacian
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