5 citations · 13 across the 11 of their papers we have counts for
6 papers · 1 filter
Sobolev inequality and its applications to nonlinear PDE on noncommutative Euclidean spaces
Michael Ruzhansky, Serikbol Shaimardan, Kanat Tulenov
In this work, we study the Sobolev inequality on noncommutative Euclidean spaces. As a simple consequence, we obtain the Gagliardo-Nirenberg type inequality and as its application…
A note on - boundedness of Fourier multipliers on noncommutative spaces
Michael Ruzhansky, Kanat Tulenov
In this work, we study Fourier multipliers on noncommutative spaces. In particluar, we show a simple proof of - estimate of Fourier multipliers on general noncommutative…
Bilinear Hardy inequalities on metric measure spaces
Michael Ruzhansky, Anjali Shriwastawa, Daulti Verma
In this paper, we discuss the Hardy inequality with bilinear operators on general metric measure spaces. We give the characterization of weights for the bilinear Hardy inequality t…
On geometric properties of -spaces on unitary duals of compact groups
Meiram Akhymbek, Michael Ruzhansky
In this paper, we study geometric properties of -spaces associated with the unitary dual of a compact group. More precisely, we prove uniform smoothness, uniform convexit…
Sharp upper bound for anisotropic Rényi entropy and Heisenberg uncertainty principle
Marianna Chatzakou, Michael Ruzhansky, Anjali Shriwastawa
In this paper, we prove the anisotropic Shannon inequality for the Renyi entropy with the best constant on Folland-Stein homogeneous Lie groups. As a consequence, we also prove the…
Hörmander type Fourier multiplier theorem and Nikolskii inequality on quantum tori, and applications
Michael Ruzhansky, Serikbol Shaimardan, Kanat Tulenov
In this paper, we study Hörmander type Fourier multiplier theorem and the Nikolskii inequality on quantum tori. On the way to obtain these results, we also prove some classical ine…