Atomic decomposition for preduals of Sobolev multiplier spaces

We characterize the preduals of Sobolev multiplier spaces by means of atomic decomposition. It will be shown that the vanishing integral condition plays a main role in the atomic decomposition. Certain subspaces of the preduals which consist of functions with vanishing integrals are also studied.     

Image recording material based on the polymeric photobase generator containing oxime‐urethane groups

A polymeric photobase generator containing oxime‐urethane groups was prepared from copolymerization of MMA with N‐[4‐(benzophenoneoximino‐carbonylamino)phenyl]maleimide, a maleimide monomer containing oxime‐urethane group, and its properties as an image recording material were studied. The irradiation of this copolymer with UV light dissociates the urethane linkage to result in the formation of aromatic amino groups, which can be developed by the diazo‐coupling reaction. Various colors could be developed depending on the phenolic coupling reagents as the developer.