121,318 research outputs found
Composition operators on weighted Bergman spaces of Dirichlet series
We study boundedness and compactness of composition operators on weighted
Bergman spaces of Dirichlet series. Particularly, we obtain in some specific
cases, upper and lower bounds of the essential norm of these operators and a
criterion of compactness on classicals weighted Bergman spaces. Moreover, a
sufficient condition of compactness is obtained using the notion of Carleson's
measure
A compactness result for a Gelfand-Liouville system with Lipschitz condition
We give a quantization analysis to an elliptic system (Gelfand-Liouville type
system) with Dirichlet condition. An application, we have a com-pactness result
for an elliptic system with Lipschitz condition
Derived dualities induced by a 1-cotilting bimodule
In this paper we characterize the modules and the complexes involved in the
dualities induced by a 1-cotilting bimodule in terms of a linear compactness
condition. Our result generalizes the classical characterization of reflexive
modules with respect to Morita dualities. The linear compactness notion
considered, permits us to obtain finiteness properties of the rings and modules
involved
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