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Hussein, S. and Elobied, A. (2013) Verification of the Sharp Inequalities for Higher Order Riesz-Laguerre Transforms. Journal of Natural and Medical Sciences, 14, 25-41.

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.