Laplace Transform Type Multipliers for Hankel Transforms
Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 487-496
Voir la notice de l'article provenant de la source Cambridge
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 $\left( \left( 0,\,\infty\right),\,dx \right)$ .
Mots-clés :
42, Hankel transform, Laplace transform, multiplier, Calderón-Zygmund
Betancor, Jorge J.; Martínez, Teresa; Rodríguez-Mesa, Lourdes. Laplace Transform Type Multipliers for Hankel Transforms. Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 487-496. doi: 10.4153/CMB-2008-049-3
@article{10_4153_CMB_2008_049_3,
author = {Betancor, Jorge J. and Mart{\'\i}nez, Teresa and Rodr{\'\i}guez-Mesa, Lourdes},
title = {Laplace {Transform} {Type} {Multipliers} for {Hankel} {Transforms}},
journal = {Canadian mathematical bulletin},
pages = {487--496},
year = {2008},
volume = {51},
number = {4},
doi = {10.4153/CMB-2008-049-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-049-3/}
}
TY - JOUR AU - Betancor, Jorge J. AU - Martínez, Teresa AU - Rodríguez-Mesa, Lourdes TI - Laplace Transform Type Multipliers for Hankel Transforms JO - Canadian mathematical bulletin PY - 2008 SP - 487 EP - 496 VL - 51 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-049-3/ DO - 10.4153/CMB-2008-049-3 ID - 10_4153_CMB_2008_049_3 ER -
%0 Journal Article %A Betancor, Jorge J. %A Martínez, Teresa %A Rodríguez-Mesa, Lourdes %T Laplace Transform Type Multipliers for Hankel Transforms %J Canadian mathematical bulletin %D 2008 %P 487-496 %V 51 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-049-3/ %R 10.4153/CMB-2008-049-3 %F 10_4153_CMB_2008_049_3
Cité par Sources :