36 citations · 155 across the 25 of their papers we have counts for
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math.CA2014★ 8 cited
Riesz-Jacobi transforms as principal value integrals
Alejandro J. Castro, Adam Nowak, Tomasz Z. Szarek
We establish an integral representation for the Riesz transforms naturally associated with classical Jacobi expansions. We prove that the Riesz-Jacobi transforms of odd orders expr…
math.CA2014★ 4 cited
Sharp estimates for potential operators associated with Laguerre and Dunkl-Laguerre expansions
Adam Nowak, Krzysztof Stempak
We study potential operators associated with Laguerre function expansions of convolution and Hermite types, and with Dunkl-Laguerre expansions. We prove qualitatively sharp estimat…
math.CA2014★ 2 cited
Potential operators associated with Hankel and Hankel-Dunkl transforms
Adam Nowak, Krzysztof Stempak
We study Riesz and Bessel potentials in the settings of Hankel transform, modified Hankel transform and Hankel-Dunkl transform. We prove sharp or qualitatively sharp pointwise esti…