11 papers
Fujita exponents on quantum Euclidean spaces
Edward McDonald, Michael Ruzhansky, Serikbol Shaimardan +1
We study the well-posedness of a non-linear heat equation with power nonlinearity with positive initial data on quantum Euclidean spaces. We prove a noncommutative analogue of the…
Hormander-Mikhlin type theorem on non-commutative spaces
Rauan Akylzhanov, Michael Ruzhansky, Kanat Tulenov
In this paper, we introduce a Fourier-type formalism on non-commutative spaces. As a result, we obtain two versions of Hormander-Mikhlin Lp-multiplier theorem: on locally compact K…
Compactness and Spectral Properties of Multiplier Operators in the Walsh System
Michael Ruzhansky, Sergo A. Episkoposian, Rafik Yeghoyan
We investigate compactness and spectral properties of multiplier operators associated with the Walsh system in the spaces , . Building upon previously establi…
Lieb-Thirring inequalities for the Dirac operator on spheres
Uwe Kähler, André Pedroso Kowacs, Michael Ruzhansky
In this paper, we obtain bounds for the best constants in two inequalities which can be seen as analogues of the Lieb-Thirring inequality, but with the Dirac operator, on the s…
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 in…
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…