Laplace Transform Type Multipliers for Hankel Transforms

Betancor, Jorge J. ; Martínez, Teresa ; Rodríguez-Mesa, Lourdes

Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 487-496

Résumé

In this paper we establish that Hankel multipliers of Laplace transform type are bounded from ${{L}^{p}}\left( w \right)$ into itself when $1\,<\,p\,<\infty$ , and from ${{L}^{1}}\left( w \right)$ into ${{L}^{1,\infty }}\left( w \right)$ , provided that $w$ is in the Muckenhoupt class ${{A}^{p}}$ on $\left( \left( 0,\,\infty\right),\,dx \right)$ .

Détail

DOI : 10.4153/CMB-2008-049-3

Mots-clés : 42, Hankel transform, Laplace transform, multiplier, Calderón-Zygmund

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