16 citations · 62 across the 10 of their papers we have counts for
4 papers · 1 filter
Norms of certain functions of a distinguished Laplacian on the groups
Rauan Akylzhanov, Yulia Kuznetsova, Michael Ruzhansky +1
The aim of this paper is to find new estimates for the norms of functions of the (minus) Laplace operator on the `' groups. The central part is devoted to spectrally…
Net spaces on lattices, Hardy-Littlewood type inequalities, and their converses
Rauan Akylzhanov, Michael Ruzhansky
We introduce abstract net spaces on directed sets and prove their embedding and interpolation properties. Typical examples of interest are lattices of irreducible unitary represent…
Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifolds
Rauan Akylzhanov, Erlan Nursultanov, Michael Ruzhansky
In this paper we prove new inequalities describing the relationship between the "size" of a function on a compact homogeneous manifold and the "size" of its Fourier coefficients. T…
Hardy-Littlewood inequalities and Fourier multipliers on SU(2)
Rauan Akylzhanov, Erlan Nursultanov, Michael Ruzhansky
In this paper we prove a noncommutative version of Hardy-Littlewood inequalities relating a function and its Fourier coefficients on the group . As a consequence, we use it…