@Article{Ekincioglu2018,
author="Ismail Ekincioglu, Cansu Keskin, Serap Guner",
title="\(BL_{p,\nu}^{m}\) estimates for the Riesz transforms associated with Laplace-Bessel operator",
year="2018",
volume="11",
number="6",
pages="832--840",
abstract="In this paper, we introduce higher order Riesz-Bessel transforms which
we can express partial derivatives of order \(\alpha\) of \(I_{m,\nu}f\) for \(f\in L_{p,\nu}\).
In addition, we establish relationship between Riesz potential
with higher order Riesz-Bessel transform related to generalized shift operator.
By using this relationship, we make some improvements of integral estimates
for \(I_{m,\nu}f\) and higher order Riesz-Bessel transform \(R_{\nu}^{m}\) in the
Beppo Levi space \(BL_{p,\nu}^{m}\). We prove an estimate for the singular integral operator with
convolution type generated by generalized shift operator in the Beppo Levi spaces.",
issn="ISSN 2008-1901",
doi="10.22436/jnsa.011.06.09",
url="http://dx.doi.org/10.22436/jnsa.011.06.09"
}