L^{𝑝} estimates on functions of Markov operators

DOI10.1090/S0002-9939-01-06202-5zbMath0987.22006OpenAlexW1500500550MaRDI QIDQ2781316

Michel Marias

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06202-5

zbMATH Keywords

Fourier transformMarkov chainsmultiplierexponential volume growthdiscrete measure spacesuperpolynomial volume growthsymmetric Markov kernel

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items

Oscillating multipliers on symmetric and locally symmetric spaces

Cites Work

• \(L^ p\)-estimates on functions of the Laplace operator
• Gaussian estimates for Markov chains and random walks on groups
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item