The weak-type (1, 1) boundedness of the higher order Riesz-Laguerre transforms associated with the Laguerre polynomials and the boundedness for the Riesz-Laguerre transforms of order 2 are considered. We discuss a pol...The weak-type (1, 1) boundedness of the higher order Riesz-Laguerre transforms associated with the Laguerre polynomials and the boundedness for the Riesz-Laguerre transforms of order 2 are considered. We discuss a polynomial weight w that makes the Riesz-Laguerre transforms of order greater than or equal to 2 continuous from L<sup>1</sup> (wdμ<sub>α</sub>) into L<sup>1,∞</sup> (dμ<sub>α</sub>), under specific value α, where μα</sub> is the Laguerre measure.展开更多
文摘The weak-type (1, 1) boundedness of the higher order Riesz-Laguerre transforms associated with the Laguerre polynomials and the boundedness for the Riesz-Laguerre transforms of order 2 are considered. We discuss a polynomial weight w that makes the Riesz-Laguerre transforms of order greater than or equal to 2 continuous from L<sup>1</sup> (wdμ<sub>α</sub>) into L<sup>1,∞</sup> (dμ<sub>α</sub>), under specific value α, where μα</sub> is the Laguerre measure.
