\(L^ p\) multipliers and their \(H^ 1\)-\(L^ 1\) estimates on the Heisenberg group

DOI10.4171/RMI/173zbMath0868.42006OpenAlexW2041748775MaRDI QIDQ1901328

Chin-Cheng Lin

Publication date: 18 August 1997

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39477

zbMATH Keywords

Fourier transformHeisenberg groupFock representations\(L^ p\) multipliers

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Nilpotent and solvable Lie groups (22E25) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Analysis on other specific Lie groups (43A80)

Related Items (11)

Bilinear spectral multipliers on Heisenberg groups ⋮ Bilinear square spectral multipliers on stratified groups ⋮ Fourier multipliers for Hardy spaces on graded Lie groups ⋮ Multilinear spectral multipliers on Besov and Triebel-Lizorkin spaces on Lie groups of polynomial growth ⋮ Weighted norm inequalities for Weyl multipliers and Fourier multipliers on the Heisenberg group ⋮ Hörmander's multipliers for the weighted Herz-type Hardy spaces ⋮ Marcinkiewicz multipliers on the Heisenberg group ⋮ Fourier multipliers on the Heisenberg group revisited ⋮ Multilinear spectral multipliers on Lie groups of polynomial growth ⋮ \(H^p\) boundedness of multilinear spectral multipliers on stratified groups ⋮ Multilinear and multiparameter spectral multipliers on homogeneous Besov and Triebel-Lizorkin spaces on Lie groups of polynomial growth

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