Extensions of Well-Boundedness and Cm-Scalarity |
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Authors: | José E. Galé Pedro J. Miana Detlef Müller |
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Affiliation: | 1.Departamento de Matemáticas,Universidad de Zaragoza,Zaragoza,Spain;2.Mathematisches Seminar,Christian-Albrechts-Universit?t,Kiel,Germany |
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Abstract: | We consider some extensions of well-boundedness and Cm-scalarity by using fractional calculus, and prove some theorems accordingly. These results are applied to the usual Laplacian on Rn and sub-Laplacians on nilpotent Lie groups. The research of first and second authors has been partly supported by the Project MTM2004-03036 of the M.C.YT.-DGI/F.E.D.E.R., Spain, and the Project E-12/25, D. G. Aragón, Spain. Part of the research of second author was developed in the Christian-Albrechts Universit?t in Kiel, while he was enjoying a HARP-postdoctoral position in the European Harmonic Analysis Network, HARP, IHP 2002-06. |
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Keywords: | Primary 47B40, 26A33 Secondary 47D03, 34L40 |
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