Spectral Multipliers for Multidimensional Bessel Operators |
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Authors: | J. J. Betancor A. J. Castro J. Curbelo |
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Affiliation: | 1. Departamento de An??lisis Matem??tico, Universidad de la Laguna, Campus de Anchieta, Avda. Astrof??sico Francisco S??nchez, s/n, 38271, La Laguna, Sta. Cruz de Tenerife, Spain 2. Instituto de Ciencias Matem??ticas (CSIC, UAM, UC3M, UCM) Consejo Superior de Investigaciones Cientificas, Calle Nicol??s Cabrera, 15, 28049, Madrid, Spain
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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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