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Proceedings of the Royal Society of Edinburgh: Section A Mathematics | 2007

Riesz transforms related to Bessel operators

Jorge J. Betancor; Juan C. Fariña; Dariusz Buraczewski; Teresa Martinez; José L. Torrea

Riesz transforms


Journal of Mathematical Analysis and Applications | 2002

Hankel convolution operators on entire functions and distributions

M. Belhadj; Jorge J. Betancor

R_\mu


Studia Scientiarum Mathematicarum Hungarica | 2004

On Hankel conjugate functions

Jorge J. Betancor; Krzysztof Stempak; P. Vértesi

related to the Bessel operators


arXiv: Classical Analysis and ODEs | 2012

Harmonic analysis operators associated with multidimensional Bessel operators

Alejandro J. Castro; Jezabel Curbelo; Jorge J. Betancor


Rendiconti Del Circolo Matematico Di Palermo | 1995

On the topology of Hankel multipliers and of Hankel convolution operators

Jorge J. Betancor; I. Marrero

\Delta_\mu=x^{-\mu-1/2}Dx^{2\mu+1}Dx^{-\mu-1/2}


Publicacions Matematiques | 2010

A CHOICE OF SOBOLEV SPACES ASSOCIATED WITH ULTRASPHERICAL EXPANSIONS

Jorge J. Betancor; Juan C. Fariña; Lourdes Rodríguez-Mesa; Ricardo Testoni; José L. Torrea


Journal of Mathematical Analysis and Applications | 2003

Beurling ultradistributions of Lp-growth

Jorge J. Betancor; Carmen Fernández; Antonio Galbis

are studied in this work. We develop for


Integral Transforms and Special Functions | 1998

Lipschitz-Hankel spaces and partial Hankel integrals

Jorge J. Betancor; L. Rodríguez-Mesa

R_\mu


International Journal of Mathematics and Mathematical Sciences | 2000

A COMMUTATOR THEOREM FOR FRACTIONAL INTEGRALS IN SPACES OF HOMOGENEOUS TYPE

Jorge J. Betancor

a theory that runs parallel to that for the Euclidean Hilbert transform. It is proved that


Applicable Analysis | 1995

The hankel transform of integrable boehmians

Jorge J. Betancor; M. Linares; J.M.R. Méndez

R_\mu

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