6 papers · 1 filter
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…
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…
boundedness of Fourier multipliers on quantum Euclidean spaces
M. Ruzhansky, S. Shaimardan, K. Tulenov
In this paper, we study Fourier multipliers on quantum Euclidean spaces and obtain results on their boundedness. On the way to get these results, we prove Paley, Hausdor…
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…