An \(L^p\)-\(L^q\) analog of Miyachi's theorem for nilpotent Lie groups and sharpness problems

DOI10.1134/S0001434613070018zbMath1408.22009WikidataQ115253928 ScholiaQ115253928MaRDI QIDQ382349

Fatma Abdelmoula, Ali Baklouti, Dhoha Lahyani

Publication date: 18 November 2013

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Fourier transformPlancherel formulauncertainty principle

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25)

Cites Work

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• Analogues of Miyachi, Cowling-Price and Morgan theorems for compact extensions of \(\mathbb R^{n1}\)
• The \(L^{p}-L^{q}\) analog of Morgan's theorem on exponential solvable Lie groups
• Explicit orbital parameters and the Plancherel measure for exponential Lie groups
• Estimate of the \(L^{p}\)-Fourier transform norm on nilpotent Lie groups
• On Hardy's uncertainty principle for connected nilpotent Lie groups
• Sur l'analyse harmonique sur les groupes de Lie résolubles
• A Theorem Concerning Fourier Transforms
• VARIANTS OF MIYACHI’S THEOREM FOR NILPOTENT LIE GROUPS

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