Abstract
In this paper we prove L p-boundedness properties of spectral multipliers associated with multidimensional Bessel operators. In order to do this we estimate the L p-norm of the imaginary powers of Bessel operators. We also prove that the Hankel multipliers of Laplace transform type on (0,∞)n are principal value integral operators of weak type (1,1).
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Communicated by Hans G. Feichtinger.
J.J. Betancor was partially supported by MTM2007/65609. A.J. Castro was supported by a grant for Master studies of “la Caixa”. J. Curbelo was supported by a grant JAE-Predoc of the CSIC (Spain).
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Betancor, J.J., Castro, A.J. & Curbelo, J. Spectral Multipliers for Multidimensional Bessel Operators. J Fourier Anal Appl 17, 932–975 (2011). https://doi.org/10.1007/s00041-010-9162-1
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DOI: https://doi.org/10.1007/s00041-010-9162-1