A Marcinkiewicz criterion for \(L^p\)-multipliers related to Schrödinger operators with constant magnetic fields

DOI10.1007/S11425-014-4866-3zbMath1311.42024OpenAlexW1986179125MaRDI QIDQ2018926

Shao Yue Liu, Liurui Deng, Bo Lin Ma

Publication date: 26 March 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4866-3

zbMATH Keywords

spectral multiplierRiesz meansmagnetic Schrödinger operatorgeneralized Littlewood-Paley functionsMarcinkiewicz criterion

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Schrödinger operator, Schrödinger equation (35J10)

Related Items (5)

Hardy-Hausdorff spaces on the Heisenberg group ⋮ Sharp constants for a class of multilinear integral operators and some applications ⋮ Remainder terms for several inequalities on some groups of Heisenberg-type ⋮ \(\operatorname{bmo}_{\rho}(\omega)\) spaces and Riesz transforms associated to Schrödinger operators ⋮ Herz-type Hardy spaces associated with operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Marcinkiewicz criterion for \(L^ p\)-multipliers
• On the boundedness of functions of (pseudo-) differential operators on compact manifolds
• Old and new Morrey spaces with heat kernel bounds
• On the convergence of Riesz means on compact manifolds
• The weak type \(L^ 1\) convergence of eigenfunction expansions for pseudodifferential operators
• Schrödinger operators with magnetic fields. I: General interactions
• Multipliers of Marcinkiewicz type for spherical harmonic expansions
• Riesz \(L_p\) summability of spectral expansions related to the Schrödinger operator with constant magnetic field
• Inequalities for strongly singular convolution operators
• L p Bounds for Spectral Multipliers on Nilpotent Groups
• Spectral Multipliers on Lie Groups of Polynomial Growth
• A multiplier theorem for Schrödinger operators

This page was built for publication: A Marcinkiewicz criterion for \(L^p\)-multipliers related to Schrödinger operators with constant magnetic fields