On the L2 continuity of pseudo‐differential operators

DOI10.1002/cpa.3160240406zbMath0206.39303OpenAlexW2005871784MaRDI QIDQ5606816

Lars Hörmander

Publication date: 1971

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160240406

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05)

Related Items (38)

A NOTE ON MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS AND ITERATED COMMUTATORS ⋮ On The L²continuity of pseudo_differential operators ⋮ New weighted norm inequalities for pseudodifferential operators and their commutators ⋮ The boundedness of multi-linear and multi-parameter pseudo-differential operators ⋮ Boundedness of non regular pseudodifferential operators on variable Besov spaces ⋮ On the global \(L^2\)-boundedness of Fourier integral operators with rough amplitude and phase functions ⋮ Unnamed Item ⋮ \(H^1\)-\(L^1\) boundedness of pseudo-differential operators with forbidden amplitudes ⋮ A pointwise estimate for pseudo-differential operators ⋮ \(L^{\infty}\)-BMO boundedness of some pseudo-differential operators ⋮ Fourier integral operators with forbidden symbols on the Besov spaces ⋮ On \(L^2\) boundedness of rough Fourier integral operators ⋮ Calderón-Zygmund operators on local Hardy spaces ⋮ The bilinear pseudo-differential operators of \(S_{0,0}\)-type on \(L^p \times L^q\) ⋮ Fourier integral operators on \(L^p(\mathbb{R}^n)\) when \(2 < p \leq \infty\) ⋮ \(L^p\)-boundedness of pseudo-differential operators on rank one Riemannian symmetric spaces of noncompact type ⋮ The \(L_p\)-boundedness of some classes of pseudo-differential operators on the \(m\)-dimensional torus ⋮ \((L_p-L_q)\)-boundedness of pseudodifferential operators on the \(n\)-dimensional torus ⋮ Quantification et analyse pseudo-différentielle ⋮ A proof of the abstract limiting absorption principle by energy estimates ⋮ Analytic \(K\)-theory on manifolds with corners ⋮ On the unboundedness of a class of Fourier integral operators on \(L^2(\mathbb R^n)\) ⋮ Weighted norm inequalities for pseudo-pseudodifferential operators defined by amplitudes ⋮ On the \(L^2\) continuity of a class of pseudo differential operators ⋮ On \(L^2\)-boundedness of \(h\)-pseudodifferential operators ⋮ On the boundedness of pseudo-differential operators associated with the Dunkl transform on the real line ⋮ Global and local regularity of Fourier integral operators on weighted and unweighted spaces ⋮ The L^p-boundedness of pseudo-differential operators with non-regular symbols ⋮ Weak and strong type estimates for the multilinear pseudo-differential operators ⋮ Estimates for the kernel and continuity properties of pseudo-differential operators ⋮ A class of unbounded Fourier integral operators ⋮ A multi-scale Gaussian beam parametrix for the wave equation: the Dirichlet boundary value problem ⋮ On \(L^2\)-boundedness of Fourier integral operators ⋮ Pseudodifferential operators on Hilbert bundles ⋮ Bounded pseudo-differential operators ⋮ On the boundedness of pseudo-differential operators of type \(p,\delta\) with \(0 \leq p=\delta <1\) ⋮ Existence and uniqueness of solutions of hyperbolic equations which are not necessarily strictly hyperbolic ⋮ Some notes on endpoint estimates for pseudo-differential operators

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