Interpolation of Sobolev spaces, Littlewood-Paley inequalities and Riesz transforms on graphs
From MaRDI portal
Publication:2271350
DOI10.5565/PUBLMAT_53209_02zbMath1185.60080arXiv0802.0922MaRDI QIDQ2271350
Publication date: 7 August 2009
Published in: Publicacions Matemàtiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.0922
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)
Related Items
Hardy and \textit{BMO} spaces on graphs, application to Riesz transform, Littlewood-Paley functionals on graphs, Algebra properties for Sobolev spaces -- applications to semilinear PDEs on manifolds, Weighted norm inequalities on graphs, Riesz transform for a flow Laplacian on homogeneous trees, Dimension free \(L^p\) estimates for single Riesz transforms via an \(H^\infty\) joint functional calculus, Weighted Hardy spaces associated to discrete Laplacians on graphs and applications, Variable exponent Hardy spaces associated with discrete Laplacians on graphs, New generalizations of set valued interpolative Hardy-Rogers type contractions in $b$-metric spaces, A Meyers type regularity result for approximations of second order elliptic operators by P1 finite elements, Hardy spaces associated to the discrete Laplacians on graphs and boundedness of singular integrals, Riesz transforms for bounded Laplacians on graphs, A note on Sobolev type inequalities on graphs with polynomial volume growth, Discrete harmonic analysis associated with ultraspherical expansions, Weighted norm inequalities for spectral multipliers on graphs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gaussian estimates for Markov chains and random walks on groups
- Weighted norm inequalities, off-diagonal estimates and elliptic operators. III: Harmonic analysis of elliptic operators
- Weighted norm inequalities, off-diagonal estimates and elliptic operators. I: General operator theory and weights
- Puissances d'un opérateur régularisant. (Powers of a regularizing operator)
- Weighted norm inequalities, off-diagonal estimates and elliptic operators. IV: Riesz transforms on manifolds and weights
- Analysis of the Laplacian on a complete Riemannian manifold
- Upper bounds for symmetric Markov transition functions
- Random walks on graphs with regular volume growth
- Parabolic Harnack inequality and estimates of Markov chains on graphs
- Gaussian lower bounds for random walks from elliptic regularity
- Isoperimetry, decrease of the heat kernel and Riesz transformations: A counterexample
- Heat kernel upper bounds on a complete non-compact manifold
- Axiomatic theory of Sobolev spaces
- Temporal regularity for random walk on discrete nilpotent groups
- On \(L^p\) estimates for square roots of second order elliptic operators on \(\mathbb R^n\)
- Bounds of Riesz transforms on \(L^p\) spaces for second order elliptic operators.
- \(L^p\) bounds for Riesz transforms and square roots associated to second order elliptic operators
- Calderón-Zygmund theory for non-integral operators and the \(H^\infty\) functional calculus
- Lipschitz spaces and Poincaré inequalities
- The Poincaré inequality is an open ended condition
- A note on time regularity for discrete time heat kernels
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
- Riesz transform on manifolds and heat kernel regularity
- Inégalité de Harnack elliptique sur les graphes
- Real interpolation of Sobolev spaces
- The conservation property of the heat equation on riemannian manifolds
- Sobolev spaces on graphs
- On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
- A Littlewood–Paley–Stein estimate on graphs and groups
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Extensions of Hardy spaces and their use in analysis
- Riesz transforms for $1\le p\le 2$
- Sobolev met Poincaré
- Riesz transforms on graphs for $1 \leq p \leq 2$
- Perturbation of analytic operators and temporal regularity of discrete heat kernels
- Sobolev inequalities in disguise
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
- \(H^1 - L^1\) boundedness of Riesz transforms on Riemannian manifolds and on graphs
