The representation theorem and the \(H^p\) space theory associated with semigroups on Lie groups

DOI10.2748/tmj/1178230103zbMath0378.46024OpenAlexW2013837279WikidataQ115227201 ScholiaQ115227201MaRDI QIDQ1246867

Koichi Saka

Publication date: 1978

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178230103

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Groups and semigroups of linear operators (47D03) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Analysis on real and complex Lie groups (22E30) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (4)

Besov spaces and Sobolev spaces on a nilpotent Lie group ⋮ A generalization of Cauchy-Riemann equations on a Riemannian symmetric space and the \(H^p\) space theory ⋮ Boundary behavior of harmonic functions on manifolds ⋮ Analysis of the Laplacian on a complete Riemannian manifold

Cites Work

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• Analytic vectors
• Semi-Groups of Measures on Lie Groups
• Subalgebra of $L_1(G)$ associated with Laplacian on a Lie group
• SINGULAR INTEGRALS AND THE PRINCIPAL SERIES
• Invariant systems of conjugate harmonic functions associated with compact Lie groups

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