Applications of the theory of Hardy spaces to harmonic analysis on the Heisenberg group

DOI10.1007/BF01455799zbMath0543.43005OpenAlexW2047521146MaRDI QIDQ796027

Ian R. Inglis

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/163956

zbMATH Keywords

atomic decompositionHardy spacestempered distributionconvolution operatorHardy's inequalityFourier multiplier theoremHausdorff-Young phenomena

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Cites Work

• \(L^p\) multipliers on the Heisenberg group
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Fourier analysis on the Heisenberg group
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
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