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Generation of semigroups for vector-valued pseudodifferential operators on the torus with space-dependent symbols
Bienvenido Barraza Martínez, Robert Denk, Jairo Hernández Monzón +1
We consider toroidal pseudodifferential operators with spatially dependent, operator-valued symbols of positive order and finite regularity. For an arbitrary complex Banach space $…
On Trace Theorems and Poincare inequality for one-dimensional Sobolev spaces
Bienvenido Barraza Martínez, Jonathan González Ospino, Jairo Hernández Monzón
In these notes, we present versions of trace theorems for Sobolev spaces over an interval in the real line, and also a one-dimensional version of the well-known Poincare inequality…
Mapping properties for operator-valued pseudodifferential operators on toroidal Besov spaces
Bienvenido Barraza Martínez, Robert Denk, Jairo Hernández Monzón +1
In this paper, we consider pseudodifferential operators on the torus with operator-valued symbols and prove continuity properties on vector-valued toroidal Besov spaces, without as…
Generation of semigroups for vector-valued pseudodifferential operators on the torus
Bienvenido Barraza Martinez, Robert Denk, Jairo Hernandez Monzon +1
We consider toroidal pseudodifferential operators with operator-valued symbols, their mapping properties and the generation of analytic semigroups on vector-valued Besov and Sobole…