Besov spaces and Sobolev spaces on a nilpotent Lie group

DOI10.2748/tmj/1178229728zbMath0429.43004OpenAlexW1987381297WikidataQ115227204 ScholiaQ115227204MaRDI QIDQ1137749

Koichi Saka

Publication date: 1979

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

Full work available at URL: https://doi.org/10.2748/tmj/1178229728

zbMATH Keywords

Sobolev spaceBesov spacenilpotent Lie groupPoisson semigroupfractional power of operatorsdiffusion semigroup

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nilpotent and solvable Lie groups (22E25) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

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Cites Work

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• Fractional powers of operators. III: Negative powers. IV: Potential operators
• On imbedding theorems for Besov spaces of functions defined in general regions
• Intertwining operators for semisimple groups
• Semi-Groups of Measures on Lie Groups
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
• Intermediate spaces and interpolation, the complex method
• On the Rate of Growth of Mean Values of Holomorphic and Harmonic Functions
• Temperatures, Bessel Potentials and Lipschitz Spaces
• Temperatures, Riesz Potentials, and the Lipschitz Spaces of Herz
• Fractional powers of operators
• Commutativite de deux foncteurs d'interpolation et applications

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