Reversed Hardy-Littlewood-Sobolev inequalities with weights on the Heisenberg group
From MaRDI portal
Publication:6064303
DOI10.1515/anona-2023-0116OpenAlexW4388837667MaRDI QIDQ6064303
Publication date: 12 December 2023
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2023-0116
Heisenberg groupextremal functionrenormalization methodreverse weighted Hardy-Littlewood-Sobolev inequality
Harmonic analysis on homogeneous spaces (43A85) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Systems of nonlinear integral equations (45G15) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Cites Work
- Unnamed Item
- Hardy-Littlewood-Sobolev and Stein-Weiss inequalities and integral systems on the Heisenberg group
- 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
- Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds and applications
- Extremals of functionals with competing symmetries
- Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
- Sharp inequalities and geometric manifolds
- Negative power nonlinear integral equations on bounded domains
- Sharp reversed Hardy-Littlewood-Sobolev inequality on \(\mathbf{R}^{n}\)
- Reverse Stein-Weiss, Hardy-Littlewood-Sobolev, Hardy, Sobolev and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups
- Reverse Stein-Weiss inequalities on the upper half space and the existence of their extremals
- Subcritical approach to conformally invariant extension operators on the upper half space
- Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group
- Reversed Stein-Weiss inequalities with Poisson-type kernel and qualitative analysis of extremal functions
- A New, Rearrangement-free Proof of the Sharp Hardy–Littlewood–Sobolev Inequality
- Weighted Hardy–Littlewood–Sobolev inequalities on the upper half space
- Reversed Hardy–Littewood–Sobolev Inequality
- Weighted inequalities and Stein-Weiss potentials
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- Sharp Reversed Hardy–Littlewood–Sobolev Inequality on the Half Space $\mathbf{R}_+^n$
- Reverse Stein–Weiss inequalities and existence of their extremal functions
- Reverse integral Hardy inequality on metric measure spaces
- Sharp Hardy–Littlewood–Sobolev Inequality on the Upper Half Space
- Existence of maximizers for Hardy-Littlewood-Sobolev inequalities on the Heisenberg group
- Pitt's inequality with sharp convolution estimates
- Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality
- Sharp reversed Hardy–Littlewood–Sobolev inequality with extension kernel