115 citations · 1.9k across the 226 of their papers we have counts for
5 papers · 2 filters
Determinants and Plemelj-Smithies formulas
Duván Cardona, Julio Delgado, Michael Ruzhansky
We establish Plemelj-Smithies formulas for determinants in different algebras of operators. In particular we define a Poincaré type determinant for operators on the torus $\Tn$ and…
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…
Hardy-Littlewood inequality and - Fourier multipliers on compact hypergroups
Vishvesh Kumar, Michael Ruzhansky
This paper deals with the inequalities devoted to the comparison between the norm of a function on a compact hypergroup and the norm of its Fourier coefficients. We prove the class…
- boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations
Duván Cardona Sánchez, Vishvesh Kumar, Michael Ruzhansky +1
In this paper we study the boundedness of global pseudo-differential operators on smooth manifolds. By using the notion of global symbol we extend a classical condition of Hörmande…
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…