36 citations · 155 across the 25 of their papers we have counts for
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math.CA2020★ 2 cited
On derivatives, Riesz transforms and Sobolev spaces for Fourier-Bessel expansions
Bartosz Langowski, Adam Nowak
We study the problem of an appropriate choice of derivatives associated with discrete Fourier-Bessel expansions. We introduce a new so-called essential measure Fourier-Bessel setti…
math.CA2020★ 6 cited
Mapping properties of fundamental harmonic analysis operators in the exotic Bessel framework
Bartosz Langowski, Adam Nowak
We prove sharp power-weighted , weak type and restricted weak type inequalities for the heat semigroup maximal operator and Riesz transforms associated with the Bessel operato…