Dimension free estimates for Riesz transforms of some Schrödinger operators

DOI10.1007/s11856-009-0086-xzbMath1185.42024OpenAlexW2078002405MaRDI QIDQ2655756

Jacek Zienkiewicz, Roman Urban

Publication date: 26 January 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-009-0086-x

zbMATH Keywords

Schrödinger operatorRiesz transform\(L^p\) norm

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Brownian motion (60J65) Markov semigroups and applications to diffusion processes (47D07) Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

Bellman functions and dimension free \(L^p\)-estimates for the Riesz transforms in Bessel settings ⋮ MATRIX-MFO tandem workshop/small collaboration: Rough wave equations. Abstracts from the MATRIX-MFO tandem workshop/small collaboration held September 12--18, 2021 (hybrid meeting) ⋮ THE ESTIMATES OF RIESZ TRANSFORMS ASSOCIATED TO SCHRÖDINGER OPERATORS ⋮ Dimension free \(L^p\) estimates for single Riesz transforms via an \(H^\infty\) joint functional calculus ⋮ Riesz transforms associated with higher-order Schrödinger type operators ⋮ Probabilistic approach to the quantum separation effect for the Feynman–Kac semigroup

Cites Work

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• Dimension free estimates for Riesz transforms associated to the harmonic oscillator on \(\mathbb R^n\)
• \(L^p\)-dimension free boundedness for Riesz transforms associated to Hermite functions
• About Riesz transforms on the Heisenberg groups
• Spectral Properties of Compact Manifolds and Changes of Metric
• The uncertainty principle
• From Brownian Motion to Schrödinger’s Equation
• H^pspaces associated with Schrödinger operators with potentials from reverse Hölder classes
• Hardy spaces H¹for Schrödinger operators with certain potentials

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