2 citations · 16 across the 65 of their papers we have counts for
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Nuclear pseudo-differential operators in Besov spaces on compact Lie groups
Duván Cardona
In this work we establish the metric approximation property for Besov spaces defined on arbitrary compact Lie groups. As a consequence of this fact, we investigate trace formulae f…
Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups
Duvan Cardona, Michael Ruzhansky
In this paper we investigate Besov spaces on graded Lie groups. We prove a Nikolskii type inequality (or the Reverse Hölder inequality) on graded Lie groups and as consequence we o…
Hölder-Besov boundedness for periodic pseudo-differential operators
Duván Cardona
In this work we give Hölder-Besov estimates for periodic Fourier multipliers. We present a class of bounded pseudo-differential operators on periodic Besov spaces with symbols of l…
Besov continuity for pseudo-differential operators on compact homogeneous manifolds
Duván Cardona
In this paper we study the Besov continuity of pseudo-differential operators on compact homogeneous manifolds We use the global quantization of these operators in terms of…