4 papers · 1 filter
Reproducing Kernel Hilbert Spaces and entropy Kolmogorov numbers on compact Lie Groups
Zhirayr Avetisyan, Michael Ruzhansky, Karina Gonzalez
On a compact Lie group , we consider the reproducing kernel Hilbert space associated with the integral kernel of a left-invariant, positive, symmetric, trace…
Hardy-Hilbert type inequalities on homogeneous groups-An introduction and generalization to the kernel case
Markos Fisseha Yimer, Lars Erik Persson, Michael Ruzhansky +2
There is a lot of information available concerning Hardy-Hilbert type inequalities in one or more dimensions. In this paper we introduce the development of such inequalities on hom…
Levin-Cochran-Lee inequalities and best constants on homogeneous groups
Michael Ruzhansky, Markos Fisseha Yimer
In this paper, we apply a direct method instead of a limit approach, for proving the Levin-Cochran-Lee inequalities. First, we state and prove Levin-Cochran-Lee type inequalities o…
Van der Corput lemmas for Mittag-Leffler functions. I
Michael Ruzhansky, Berikbol T. Torebek
In this paper, we study analogues of the van der Corput lemmas involving Mittag-Leffler functions. The generalisation is that we replace the exponential function with the Mittag-Le…