Group invariance and \(L^p\)-bounded operators

DOI10.1007/s00209-007-0277-2zbMath1256.47020OpenAlexW2061570099MaRDI QIDQ943390

Andreas Nilsson, Toshiyuki Kobayashi

Publication date: 9 September 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-007-0277-2

zbMATH Keywords

multiplierrelative invariantsprehomogeneous vector spacegroup invariancetranslation invariant operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Multipliers for harmonic analysis in several variables (42B15) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items

Revisiting Riesz transforms on Heisenberg groups, MAXIMAL SEMIGROUP SYMMETRY AND DISCRETE RIESZ TRANSFORMS, Indefinite higher Riesz transforms

Cites Work

• Estimates for translation invariant operators in \(L^p\) spaces
• Indefinite higher Riesz transforms
• The multiplier problem for the ball
• Multiplicity-free representations and visible actions on complex manifolds
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