2 citations · 9 across the 46 of their papers we have counts for
5 papers · 1 filter
Dixmier traces for discrete pseudo-differential operators
Duván Cardona, César del Corral, Vishvesh Kumar
In this paper we provide sharp results for the Dixmier traceability of discrete pseudo-differential operators on . In this setting, we introduce a suitable no…
-bounds for pseudo-differential operators on graded Lie groups
Duván Cardona, Julio Delgado, Michael Ruzhansky
In this work we obtain sharp -estimates for pseudo-differential operators on arbitrary graded Lie groups. The results are presented within the setting of the global symbolic c…
- bounds for pseudo-multipliers associated to the harmonic oscillator
Duván Cardona
In this note we investigate some conditions of Hörmander-Mihlin type in order to assure the - boundedness for pseudo-multipliers of the harmonic oscil…
Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups
Duván Cardona, Michael Ruzhansky
In this paper we investigate the Besov spaces on compact Lie groups in a subelliptic setting, that is, associated with a family of vector fields, satisfying the Hörmander condition…
The nuclear trace of periodic vector-valued pseudo-differential operators with applications to index theory
Duván Cardona, Vishvesh Kumar
In this paper, we investigate the nuclear trace of vector-valued Fourier multipliers on the torus and its applications to the index theory of periodic pseudo-differential operators…