Calderon-Zygmund kernels carried by linear subspaces of homogeneous nilpotent Lie algebras

DOI10.1007/BF01388440zbMath0521.43009MaRDI QIDQ1055653

Detlef Müller

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143058

zbMATH Keywords

nilpotent Lie groupslinear subspacesconvolution operatorshomogeneous distributionCalderon-Zygmund

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Analysis on other specific Lie groups (43A80)

Related Items (5)

Hilbert integrals, singular integrals, and Radon transforms. I ⋮ Estimates for singular Radon transforms and pseudodifferential operators with singular symbols ⋮ Another example in the solvability theory of pdo's with double characteristics ⋮ $L^p$ boundedness of discrete singular Radon transforms ⋮ Estimates for singular convolution operators on the Heisenberg group

Cites Work

• Unnamed Item
• Singular integral operators on nilpotent Lie groups
• Schranken für verschränkte Faltungsoperatoren
• Another remark on twisted convolution
• Criteria for Solvability of Left Invariant Operators on Nilpotent Lie Groups
• Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Singular convolution operators on the Heisenberg group
• Singular Integrals on Nilpotent Lie Groups
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• Square Integrable Representations of Nilpotent Groups

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