Pseudodifferential operators on local Hardy spaces

DOI10.1007/s00041-008-9021-5zbMath1178.35396OpenAlexW2001971854MaRDI QIDQ1027730

Rafael Augusto dos Santos Kapp, J. Hounie

Publication date: 30 June 2009

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

Full work available at URL: https://doi.org/10.1007/s00041-008-9021-5

zbMATH Keywords

Hardy spacesparadifferential operatorsHörmander's symbols

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) (H^p)-spaces (42B30) Pseudodifferential operators (47G30) Paradifferential operators as generalizations of partial differential operators in context of PDEs (35S50)

Related Items (18)

Mixed Hardy spaces and their applications ⋮ Local solvability for a class of linear operators in Triebel-Lizorkin spaces ⋮ Fundamental results for pseudo-differential operators of type \(1, 1\) ⋮ Fourier transform decay of distributions in Hardy-Morrey spaces ⋮ The continuity of pseudo-differential operators on Local variable Hardy spaces and their dual spaces ⋮ Real interpolation of generalized Besov-Hardy spaces and applications ⋮ Unnamed Item ⋮ Boundedness of singular integral operators on local Hardy spaces and dual spaces ⋮ On the continuity and compactness of pseudodifferential operators on localizable Hardy spaces ⋮ L_p‐theory of type 1, 1‐operators ⋮ Equivalent norms of \(cmo^p(\mathbb{R}^n)\) and applications ⋮ On Friedrichs Commutators Lemma for Hardy Spaces and Applications ⋮ Pseudo-multipliers and smooth molecules on Hermite Besov and Hermite Triebel-Lizorkin spaces ⋮ Pseudodifferential operators on weighted Hardy spaces ⋮ L1 Sobolev estimates for (pseudo)-differential operators and applications ⋮ Discrete Littlewood-Paley-Stein characterization and \(L^2\) atomic decomposition of local Hardy spaces ⋮ Fefferman type criterion on weighted bi-parameter local Hardy spaces and boundedness of bi-parameter pseudodifferential operators ⋮ Double weighted commutators theorem for pseudo-differential operators with smooth symbols

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Estimates for the kernel and continuity properties of pseudo-differential operators
• On the theory of harmonic functions of several variables
• Global Cauchy problems modulo flat functions
• A local version of real Hardy spaces
• Local a priori estimates in \(L^p\) for first order linear operators with nonsmooth coefficients
• A similarity principle for locally solvable vector fields.
• Local solvability of first order linear operators with Lipschitz coefficients in two variables
• Local solvability in \(L^ p\) of first-order linear operators
• Pseudo-differential operators with nonregular symbols
• \(H^p\) spaces of several variables
• L\(^p\) bounds for pseudo-differential operators
• On The L²continuity of pseudo_differential operators
• Une algebre maximale d'operateurs pseudo-differentiels d'operateurs pseudo-differentiels
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Continuitu properties and characterization of pseudo–differential operators of type(1,1)
• Extensions of Hardy spaces and their use in analysis
• A Maximal Function Characterization of the Class H p
• On removable singularities of locally solvable differential operators

This page was built for publication: Pseudodifferential operators on local Hardy spaces