\(L^p\)-bounds for Stein's square functions associated to operators and applications to spectral multipliers

DOI10.2969/jmsj/06520389zbMath1277.42011OpenAlexW2045628376MaRDI QIDQ2375994

Peng Chen, Li Xin Yan, Xuan Thinh Duong

Publication date: 26 June 2013

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1366896639

zbMATH Keywords

heat semigroupspace of homogeneous typeBochner-Riesz meansnon-negative self-adjoint operatorStein's square function

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) General theory of partial differential operators (47F05)

Related Items (10)

Bilinear spectral multipliers on Heisenberg groups ⋮ Quantitative weighted estimates for harmonic analysis operators in the Bessel setting by using sparse domination ⋮ Bilinear square spectral multipliers on stratified groups ⋮ Multilinear spectral multipliers on Besov and Triebel-Lizorkin spaces on Lie groups of polynomial growth ⋮ Dunkl spectral multipliers with values in UMD lattices ⋮ \(L^p\)-boundedness of Stein's square functions associated with Fourier-Bessel expansions ⋮ Multilinear spectral multipliers on Lie groups of polynomial growth ⋮ \(H^p\) boundedness of multilinear spectral multipliers on stratified groups ⋮ Hörmander functional calculus on UMD lattice valued \(L^p\) spaces under generalized Gaussian estimates ⋮ Boundedness of Stein’s square functions and Bochner-Riesz means associated to operators on hardy spaces

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