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Journal of the London Mathematical Society 1995 51(2):299-308; doi:10.1112/jlms/51.2.299
© 1995 by London Mathematical Society
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© The London Mathematical Society

Vector Valued Inequalities for Hankel Transforms

Elena Romera

Departamento de Ingeniería, Universidad Carlos III de Madrid Butarque 15 Leganés, 28911 Madrid, Spain

Received 22 May 1993.

The disc multiplier may be seen as a vector valued operator when we consider its projections in terms of the spherical harmonics. We prove the boundedness of this operator, which in this form represents a vector valued Hankel Transform, on the spaces Formula (rn–1 dr) when 2n/(n + 1) < p, q < 2n/(n – 1).

Research partially supported by DGICYT (MEC Spain); PB 92/187.


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