Graczyk, P., Loeb, J., Lopez, I., Nowak, A. and Urbina, W. (2005) Higher Order Riesz Transforms, Fractional Derivatives and Sobolev Spaces for Laguerre Expansions. Journal de Mathématiques Pures et Appliquées, 84, 375-405.
https://doi.org/10.1016/j.matpur.2004.09.003

has been cited by the following article:

• TITLE: Inequalities for Higher Order Riesz-Laguerre Transforms

  AUTHORS: Ammar Elobied, Abdelgader Siddig, Sabir Widatalla

  KEYWORDS: Riesz-Laguerre Transform, Polynomial Expansion, Weak-Type, Stein Complex Interpolation Theorem, Calderon-Zygmund-Type, Riesz-Gauss Transform

  JOURNAL NAME: Advances in Pure Mathematics, Vol.12 No.4, April 26, 2022

  ABSTRACT: 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 L1 (wdμα) into L1,∞ (dμα), under specific value α, where μα is the Laguerre measure.