Littlewood-Paley theory on metric spaces with non doubling measures and its applications
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Publication:2516913
DOI10.1007/s11425-014-4950-8zbMath1320.42012OpenAlexW2257118597MaRDI QIDQ2516913
Publication date: 4 August 2015
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-014-4950-8
Littlewood-Paley theoryGaussian measureupper doubling conditionnon-homogeneous spacesweak growth condition
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Analysis on metric spaces (30L99)
Related Items (14)
Boundedness of certain commutators over non-homogeneous metric measure spaces ⋮ Weighted estimates for iterated commutators of multilinear Calderón-Zygmund operators on non-homogeneous metric measure spaces ⋮ Endpoint estimates of generalized homogeneous Littlewood-Paley \(g\)-functions over non-homogeneous metric measure spaces ⋮ Multilinear fractional integral operators on non-homogeneous metric measure spaces ⋮ Anisotropic Hardy-Lorentz spaces and their applications ⋮ Boundedness for commutators of bilinear \(\theta\)-type Calderón-Zygmund operators on nonhomogeneous metric measure spaces ⋮ Boundedness of Marcinkiewicz integrals on Hardy spaces H^p over non-homogeneous metric measure spaces ⋮ Some estimates for commutators of Littlewood-Paley \(g\)-functions ⋮ Interpolation of Morrey-Campanato and related smoothness spaces ⋮ Anisotropic ball Campanato-type function spaces and their applications ⋮ Some characterizations of upper doubling conditions on metric measure spaces ⋮ Existence and Gevrey regularity for a two-species chemotaxis system in homogeneous Besov spaces ⋮ Generalized homogeneous Littlewood-Paley \(g\)-function on some function spaces ⋮ Maximal multilinear commutators on non-homogeneous metric measure spaces
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