Melin-Hörmander inequality in a Wiener type pseudodifferential algebra

DOI10.1007/BF02384559zbMath1039.35149MaRDI QIDQ1428361

Frederic Hérau

Publication date: 28 March 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

symbolsBanach algebra of pseudo-differential operatorsMelin-Hörmander inequality

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items

Remarks on lower bounds for pseudo-differential operators ⋮ Time-frequency analysis of Sjöstrand's class ⋮ Local wave-front sets of Banach and Fréchet types, and pseudo-differential operators ⋮ On positivity of certain systems of partial differential equations ⋮ On the Fefferman--Phong inequality and a Wiener-type algebra of pseudodifferential operators ⋮ Weyl product algebras and modulation spaces ⋮ Wiener's lemma for localized integral operators ⋮ Composition and spectral invariance of pseudodifferential operators on modulation spaces ⋮ The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators ⋮ Mapping properties for the Bargmann transform on modulation spaces ⋮ Schatten-von Neumann properties in the Weyl calculus, and calculus of metrics on symplectic vector spaces ⋮ Stability of localized operators ⋮ On the Problem of Positivity of Pseudodifferential Systems ⋮ Schrödinger equations with rough Hamiltonians ⋮ MELIN INEQUALITY FOR PARADIFFERENTIAL OPERATORS AND APPLICATIONS

Cites Work

• Unnamed Item
• Remarks on a Wiener type pseudodifferential algebra and Fourier integral operators
• An algebra of pseudodifferential operators
• Quantification asymptotique et microlocalisations d'ordre supérieur. I
• Lower bounds for pseudo-differential operators