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- Ghent UniversityBE36 papers
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19 papers · 1 filter
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…
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…
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…
Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for some fractional derivatives
Aidyn Kassymov, Michael Ruzhansky, Niyaz Tokmagambetov +1
In this paper we show different inequalities for fractional order differential operators. In particular, the Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type…
Van der Corput lemmas for Mittag-Leffler functions. II. -directions
Michael Ruzhansky, Berikbol T. Torebek
The paper is devoted to study analogues of the van der Corput lemmas involving Mittag-Leffler functions. The generalisation is that we replace the exponential function with the Mit…
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…