Sharp estimates of the potential kernel for the harmonic oscillator with applications

DOI10.1215/00277630-2324129zbMath1279.47074arXiv1111.5738OpenAlexW2037699658MaRDI QIDQ2873889

Adam Nowak, Krzystztof Stempak

Publication date: 27 January 2014

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.5738

Mathematics Subject Classification ID

Potentials and capacities on other spaces (31C15) Potential operators (47G40)

Related Items

Potential operators associated with Hankel and Hankel-Dunkl transforms, Potential operators associated with Jacobi and Fourier-Bessel expansions, On potential spaces related to Jacobi expansions, Sharp estimates for potential operators associated with Laguerre and Dunkl-Laguerre expansions

Cites Work

• Unnamed Item
• BMO results for operators associated to Hermite expansions
• Sobolev spaces associated to the harmonic oscillator
• Riesz transforms and conjugacy for Laguerre function expansions of Hermite type
• Poisson integrals and Riesz transforms for Hermite function expansions with weights.
• Negative Powers of Laguerre Operators