Displaying similar documents to “The Rockland condition for nondifferential convolution operators II”

On operators satisfying the Rockland condition

Waldemar Hebisch (1998)

Studia Mathematica

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Let G be a homogeneous Lie group. We prove that for every closed, homogeneous subset Γ of G* which is invariant under the coadjoint action, there exists a regular kernel P such that P goes to 0 in any representation from Γ and P satisfies the Rockland condition outside Γ. We prove a subelliptic estimate as an application.

A multiplier theorem for H-type groups

Rita Pini (1991)

Studia Mathematica

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We prove an L p -boundedness result for a convolution operator with rough kernel supported on a hyperplane of a group of Heisenberg type.

Convolution operators on Hardy spaces

Chin-Cheng Lin (1996)

Studia Mathematica

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We give sufficient conditions on the kernel K for the convolution operator Tf = K ∗ f to be bounded on Hardy spaces H p ( G ) , where G is a homogeneous group.

Paracommutators. Brief introduction, open problems.

Jaak Peetre (1989)

Revista Matemática de la Universidad Complutense de Madrid

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We review the basic facts about the theory of paracommutators in Rn (sec S. Janson, J. Peetre, Trans. Am. Math. Soc. 305 (1988), 467504). We also give an interpretation of paracommutators from the point of view of group representations. This suggests a generalization to more general groups. Here we sketch a theory of paracommutators over stratified groups. This include the famous Heisenberg group. Finally, we take up the question of generalizing the notion of Schatten-von Neumann trace...