Results 11 to 20 of about 259 (139)
Eigenvalues of Graphs and Sobolev Inequalities [PDF]
Combinatorics, Probability and Computing, 1995 We derive bounds for eigenvalues of the Laplacian of graphs using discrete versions of the Sobolev inequalities and heat kernel estimates.
Fan R. K. Chung, Shing-Tung Yau
openaire +2 more sources
Sobolev-Poincaré inequalities for differential forms and currents
Bruno Pini Mathematical Analysis Seminar, 2019 In this note we collect some results in R^n about (p,q) Poincaré and Sobolev inequalities for differential forms obtained in a joint research with Franchi and Pansu. In particular, we focus to the case p=1.
Annalisa Baldi
doaj +1 more source
Sobolev and Hardy–Littlewood–Sobolev inequalities
Journal of Differential Equations, 2014 This paper is devoted to improvements of Sobolev and Onofri inequalities. The additional terms involve the dual counterparts, i.e. Hardy-Littlewood-Sobolev type inequalities. The Onofri inequality is achieved as a limit case of Sobolev type inequalities.
Jankowiak, Gaspard, Dolbeault, Jean
openaire +4 more sources
Reversed Hardy-Littlewood-Sobolev inequalities with weights on the Heisenberg group
Advances in Nonlinear Analysis, 2023 In this article, we establish some reverse weighted Hardy-Littlewood-Sobolev inequalities on the Heisenberg group. We then show the existence of extremal functions for the above inequalities by combining the subcritical approach and the renormalization ...
Hu Yunyun
doaj +1 more source
Weighted Sobolev spaces: Markov-type inequalities and duality
Bulletin of Mathematical Sciences, 2017 Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. The aim of this paper is to prove several important properties of weighted Sobolev spaces: separability, reflexivity, uniform convexity, duality and Markov-type ...
Francisco Marcellán +2 more
doaj +1 more source
On Some Integral Inequalities in Quantum Calculus
Journal of Function Spaces, 2020 The objective of this paper is to establish q-analogue of some well-known inequalities in analysis, namely, Poincaré-type inequalities, Sobolev-type inequalities, and Lyapunov-type inequalities.
Mohamed Jleli, Bessem Samet
doaj +1 more source
Higher Order Sobolev-Type Spaces on the Real Line
Journal of Function Spaces, 2014 This paper gives a characterization of Sobolev functions on the real line by means of pointwise inequalities involving finite differences. This is also shown to apply to more general Orlicz-Sobolev, Lorentz-Sobolev, and Lorentz-Karamata-Sobolev spaces.
Bogdan Bojarski +2 more
doaj +1 more source
Some global Sobolev inequalities related to Kolmogorov-type operators
Bruno Pini Mathematical Analysis Seminar, 2020 In this note we review a recent result in [17] in collaboration with N. Garofalo, where we establish global versions of Hardy-Littlewood-Sobolev inequalities attached to hypoelliptic equations of Kolmogorov type.
Giulio Tralli
doaj +1 more source
Log-Sobolev inequality for the multislice, with applications [PDF]
Electronic Journal of Probability, 2022 Let $κ\in \mathbb{N}_+^\ell$ satisfy $κ_1 + \dots + κ_\ell = n$ and let $\mathcal{U}_κ$ denote the "multislice" of all strings $u$ in $[\ell]^n$ having exactly $κ_i$ coordinates equal to $i$, for all $i \in [\ell]$. Consider the Markov chain on $\mathcal{U}_κ$, where a step is a random transposition of two coordinates of $u$.
Filmus, Yuval +2 more
openaire +4 more sources
Critical Hardy–Sobolev inequalities
Journal de Mathématiques Pures et Appliquées, 2007 We consider Hardy inequalities in $I R^n$, $n \geq 3$, with best constant that involve either distance to the boundary or distance to a surface of co-dimension ...
Filippas, S., Maz'ya, V., Tertikas, A.
openaire +2 more sources