We characterize existence and uniqueness of solutions for an inhomogeneous abstract delay equation in Hölder spaces. The main tool is the theory of operator-valued Fourier multipliers.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm175-1-6, author = {Carlos Lizama and Ver\'onica Poblete}, title = {Maximal regularity of delay equations in Banach spaces}, journal = {Studia Mathematica}, volume = {173}, year = {2006}, pages = {91-102}, zbl = {1112.34065}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm175-1-6} }
Carlos Lizama; Verónica Poblete. Maximal regularity of delay equations in Banach spaces. Studia Mathematica, Tome 173 (2006) pp. 91-102. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm175-1-6/