A sequence of remarkable Poincaré inequalities for Dunkl operators

DOI10.1080/10652469.2018.1544201zbMath1404.60112OpenAlexW2900673510MaRDI QIDQ4562720

Abdellatif Bentaleb, Mostafa Maslouhi, M. E. Elhassani

Publication date: 18 December 2018

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2018.1544201

zbMATH Keywords

Poincaré inequalityJensen inequalityDunkl operatorDunkl heat semigroup

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Diffusion processes (60J60) Harmonic analysis in one variable (42A99)

Related Items (1)

Schrödinger operators with reverse Hölder class potentials in the Dunkl setting and their Hardy spaces

Cites Work

• Unnamed Item
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• The Dunkl transform
• On the generalized Poisson transform
• Differential-Difference Operators Associated to Reflection Groups
• A Generalized Poincare Inequality for Gaussian Measures

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