Gagliardo-Nirenberg inequalities for semigroups of operators and applications

DOI10.1007/BF00301787zbMath0768.47018OpenAlexW2039787685MaRDI QIDQ1202899

Thierry Coulhon

Publication date: 25 February 1993

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00301787

zbMATH Keywords

power bounded operatorGagliardo-Nirenberg inequalitiesbounded holomorphic semigroupinequality of type Nash

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Analysis on real and complex Lie groups (22E30) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

Lower bounds for one-dimensional Markov chains, The Generalized Diffusion Phenomenon and Applications, On-diagonal lower bounds for heat kernels and Markov chains, Gaussian upper bounds for heat kernels of second order complex elliptic operators with unbounded diffusion coefficients on arbitrary domains, The σ‐evolution equations with friction and unbounded coefficients, Diffusion phenomenon in Hilbert spaces and applications, A Gaussian estimate for the heat kernel on differential forms and application to the Riesz transform, A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces, Limits on \(L^ p\) regularity of self-adjoint elliptic operators, Riesz transform for \(1\leq p \leq 2\) without Gaussian heat kernel bound, Ultracontractivity and embedding into \(L^\infty\)

Cites Work

• Analyse sur les groupes de Lie à croissance polynômiale. (Analysis on Lie groups of polynomial growth)
• Proprietà di alcune classi di funzioni in più variabili
• Hardy-Littlewood theory for semigroups
• Upper bounds for symmetric Markov transition functions
• On the asymptotic behaviour of convolution powers of probabilities on discrete groups
• Semigroups of operators and function spaces on Lie groups.
• Comparison Theorems on Dirichlet Norms and their Applications
• An Endpoint Estimate for Certain k-Plane Transforms
• Quelques Remarques Sur La Regularite L^p Du Semi–Groupe De Stokes
• An Application of Homogenization Theory to Harmonic Analysis: Harnack Inequalities And Riesz Transforms on Lie Groups of Polynomial Growth
• Elliptic Partial Differential Equations of Second Order
• Harmonic Analysis and Ultracontractivity
• Analysis on Lie groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item