Marcinkiewicz-type spectral multipliers on Hardy and Lebesgue spaces on product spaces of homogeneous type

DOI10.1007/s00041-016-9460-3zbMath1368.42011arXiv1512.01607OpenAlexW2191927336WikidataQ60514403 ScholiaQ60514403MaRDI QIDQ515860

Xuan Thinh Duong, Lesley A. Ward, Peng Chen, Ji Li, Li Xin Yan

Publication date: 17 March 2017

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01607

zbMATH Keywords

Hardy spacesnonnegative self-adjoint operatorsfinite propagation speed propertyMarcinkiewicz-type spectral multipliersrestriction type estimates

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) (H^p)-spaces (42B30)

Related Items (9)

Product Hardy spaces associated to operators with heat kernel bounds on spaces of homogeneous type ⋮ Bilinear spectral multipliers on Heisenberg groups ⋮ Product \((\alpha_1, \alpha_2)\)-modulation spaces ⋮ Joint spectral multipliers for mixed systems of operators ⋮ Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheres ⋮ Weighted product Hardy space associated with operators ⋮ \(H^p\) boundedness of multilinear spectral multipliers on stratified groups ⋮ Marcinkiewicz multipliers associated with the Kohn Laplacian on the Shilov boundary of the product domain in \(\mathbb{C}^{2n} \) ⋮ Multilinear and multiparameter spectral multipliers on homogeneous Besov and Triebel-Lizorkin spaces on Lie groups of polynomial growth

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