Spectral Multipliers for Multidimensional Bessel Operators |
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| Authors: | J J Betancor A J Castro J Curbelo |
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| Institution: | 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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| Keywords: | |
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