36 citations · 155 across the 25 of their papers we have counts for
30 papers
On non-centered maximal operators related to a non-doubling and non-radial exponential measure
Adam Nowak, Emanuela Sasso, Peter Sjögren +1
We investigate mapping properties of non-centered Hardy-Littlewood maximal operators related to the exponential measure in . The…
Endpoint estimates and optimality for the generalized spherical maximal operator on radial functions
Adam Nowak, Luz Roncal, Tomasz Z. Szarek
We find sharp conditions for the maximal operator associated with generalized spherical mean Radon transform on radial functions $M^{\a,\b}_t$ to be bounded on power weighted Lebes…
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…
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…
Genuinely sharp heat kernel estimates on compact rank-one symmetric spaces, for Jacobi expansions, on a ball and on a simplex
Adam Nowak, Peter Sjögren, Tomasz Z. Szarek
We prove genuinely sharp two-sided global estimates for heat kernels on all compact rank-one symmetric spaces. This generalizes the authors' recent result obtained for a Euclidean…
Maximal estimates for a generalized spherical mean Radon transform acting on radial functions
Óscar Ciaurri, Adam Nowak, Luz Roncal
We study a generalized spherical means operator, viz. generalized spherical mean Radon transform, acting on radial functions. As the main results, we find conditions for the associ…