Does search boost efficiency?

Poaching externality, arising from job-to-job turnovers, implies that a planner should allocate fewer resources to costly job creations. However, these search efforts increase competition among employers, and this could in turn internalize the externality, whereas the congestion externality requires a unit-elastic matching function

Dunkl translations, Dunkl-type BMOBMO space and Riesz transforms for Dunkl transform on L∞L^\infty

In this paper, we will give some results on the support of Dunkl translations on compactly supported functions. Then we will define Dunkl-type $BMO$ space and Riesz transforms for Dunkl transform on $L^\infty$, and prove the boundedness of Riesz transforms from $L^\infty$ to Dunkl-type $BMO$ space under the uniform boundedness assumption of Dunkl translations. The proof and the definition in Dunkl setting will be harder than in the classical case for the lack of some similar properties of Dunkl translations to that of classical translations. We will also extend the preciseness of the description of support of Dunkl translations on characteristic functions by Gallardo and Rejeb to that on all nonnegative radial functions in $L^2(m_k)$.Comment: 12 pages;accepted for publication in Functional Analysis and its Applications after some minor revision