Registered users receive a variety of benefits including the ability to customize email alerts, create favorite journals list, and save searches.
Please note that a Project Euclid web account does not automatically grant access to full-text content. An institutional or society member subscription is required to view non-Open Access content.
Contact email@example.com with any questions.
The purpose of this article is to establish a semi-group formula for the Riesz potentials of Lp-functions. As preparations, we study the Lizorkin space Φ(Rn) and investigate integral estimates of the Riesz potentials of functions in the spaces Lp:r,s(Rn).
We describe explicitly the cohomology of the total complex of certain diagrams of invertible sheaves on normal toric varieties. These diagrams, called wheels, arise in the study of toric singularities associated to dimer models. Our main tool describes the generators in a family of syzygy modules associated to the wheel in terms of walks in a family of graphs.
Let R be any ring. We prove that every right R-module is coretractable if and only if R is right perfect and every right R-module is small coretractable if and only if all torsion theories on R are cohereditary. We also study mono-coretractable modules. We show that coretractable modules are a proper generalization of mono-coretractable modules.