Absolutely summing multiplier operators in $L^p (G)$ for $p > 2$

DOI10.1090/S0002-9939-2014-12179-4zbMath1305.43005OpenAlexW1640653395MaRDI QIDQ2930638

Luis Rodríguez-Piazza, Werner J. Ricker

Publication date: 19 November 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12179-4

zbMATH Keywords

Fourier seriesabsolutely summing operator\(p\)-multiplier

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Harmonic analysis on general compact groups (43A77) Convergence of Fourier series and of inverse transforms (43A50)

Cites Work

• Integral extension of multiplier operators in \(A(G)\)
• Eigenvalue distribution of compact operators
• Absolutely summing convolution operators in L ^p (G )
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