B. Langowski

activity

20122026

most citedMapping properties of fundamental harmonic analysis operators in the exotic Bessel framework

6 citations · 16 across the 12 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

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 $L^{p}$ , weak type and restricted weak type inequalities for the heat semigroup maximal operator and Riesz transforms associated with the Bessel operato…

math.CA2020★ 1 cited

Sharp $l^{p}$ -improving estimates for the discrete paraboloid

Shival Dasu, Ciprian Demeter, Bartosz Langowski

We prove $l^{p}$ -improving estimates for the averaging operator along the discrete paraboloid in the sharp range of $p$ in all dimensions $n \geq 2$ .

On derivatives, Riesz transforms and Sobolev spaces for Fourier-Bessel expansions

Mapping properties of fundamental harmonic analysis operators in the exotic Bessel framework

Sharp lp-improving estimates for the discrete paraboloid

Sharp $l^{p}$ -improving estimates for the discrete paraboloid