Subcritical approach to conformally invariant extension operators on the upper half space
From MaRDI portal
Publication:2334562
DOI10.1016/J.JFA.2018.08.012zbMath1435.35191arXiv1711.11198OpenAlexW2964008914MaRDI QIDQ2334562
Publication date: 7 November 2019
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.11198
Elliptic equations and elliptic systems (35Jxx) Potential theory (31-XX) Nonlinear integral equations (45Gxx)
Related Items (16)
Integral equations on compact manifold with boundary ⋮ Classification and symmetry of positive solutions for weighted integral system ⋮ Classification of solutions to a system of \(n^{\mathrm{th}}\) order equations on \(\mathbb{R}^n\) ⋮ Classifications of positive solutions to an integral system involving the multilinear fractional integral inequality ⋮ Reversed Stein-Weiss inequalities with Poisson-type kernel and qualitative analysis of extremal functions ⋮ Hardy–Littlewood–Sobolev inequality and existence of the extremal functions with extended kernel ⋮ Reversed Hardy-Littlewood-Sobolev inequalities with weights on the Heisenberg group ⋮ Liouville type theorems for general weighted integral system with negative exponents ⋮ Integral inequalities with an extended Poisson kernel and the existence of the extremals ⋮ Liouville theorems on the upper half space ⋮ Existence of solutions to a conformally invariant integral equation involving Poisson-type kernels ⋮ Sharp reversed Hardy–Littlewood–Sobolev inequality with extension kernel ⋮ Stein-Weiss type inequality on the upper half space and its applications ⋮ Classification of positive solutions for an integral system on the half space ⋮ Divergent operator with degeneracy and related sharp inequalities ⋮ Liouville type theorem for weighted integral system with negative exponents
Cites Work
- Unnamed Item
- Sharp constants in several inequalities on the Heisenberg group
- Subcritical approach to sharp Hardy-Littlewood-Sobolev type inequalities on the upper half space
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- An integral equation in conformal geometry
- Conformal deformation of a Riemannian metric to constant scalar curvature
- Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
- An extension operator on bounded domains and applications
- Remark on some conformally invariant integral equations: the method of moving spheres
- Sharp reversed Hardy-Littlewood-Sobolev inequality on \(\mathbf{R}^{n}\)
- A New Family of Sharp Conformally Invariant Integral Inequalities
- Reversed Hardy–Littewood–Sobolev Inequality
- The Yamabe problem
- On the isoperimetric quotient over scalar-flat conformal classes
- Sharp Hardy–Littlewood–Sobolev Inequality on the Upper Half Space
- On a theorem of functional analysis
- An Extension Problem Related to the Fractional Laplacian
- Sharp integral inequalities for harmonic functions
- Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality
This page was built for publication: Subcritical approach to conformally invariant extension operators on the upper half space
