We give conditions on pairs of non-negative functions $u$ and $v$ which are sufficient that, for $01$ \[ \left[ \int _0^\infty |u(x)(Tf)(x)|^q\, dx\right]^{\frac{1}{q}} \le C\left[ \int _0^\infty |v(x)f(x)|^p\, dx\right]^{\frac{1}{p}}\,, \] where $T$ is the Hankel-, K-, or the Y-transformations.
@article{107493, author = {Salah A. A. Emara}, title = {Weighted estimates for the Hankel-, $\underline{K}$- and $Y$- transformations}, journal = {Archivum Mathematicum}, volume = {030}, year = {1994}, pages = {29-43}, zbl = {0808.44008}, mrnumber = {1282111}, language = {en}, url = {http://dml.mathdoc.fr/item/107493} }
Emara, Salah A. A. Weighted estimates for the Hankel-, $\underline{K}$- and $Y$- transformations. Archivum Mathematicum, Tome 030 (1994) pp. 29-43. http://gdmltest.u-ga.fr/item/107493/
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