Inversion in some algebras of singular integral operators

DOI10.4171/RMI/72zbMath0703.43001MaRDI QIDQ916043

Michael Christ

Publication date: 1988

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39378

zbMATH Keywords

tempered distributionbounded linear operatorssimply connected Lie groupCalderón-Zygmund type singular integral operatorsgraded finite dimensional nilpotent Lie algebra

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Lie algebras of Lie groups (22E60) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items (12)

The algebra of Calderón-Zygmund kernels on a homogeneous group is inverse-closed ⋮ Polynomial control on stability, inversion and powers of matrices on simple graphs ⋮ Invertibility in the flag kernels algebra on the Heisenberg group ⋮ Sobolev spaces related to Schrödinger operators with polynomial potentials ⋮ \(L^p\)-\(L^q\) estimates for convolution operators with \(n\)-dimensional singular measures ⋮ On the composition of rough singular integral operators ⋮ Norm-controlled inversion in Banach algebras of integral operators ⋮ Polynomial control on weighted stability bounds and inversion norms of localized matrices on simple graphs ⋮ Pseudodifferential operators on groups with dilations ⋮ Graded hypoellipticity of BGG sequences ⋮ Norm-controlled inversion in weighted convolution algebras ⋮ An estimate for the composition of rough singular integral operators

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