Holomorphic $C$-Existence Families

deLAUBENFELS, Ralph

Tokyo J. of Math., Tome 15 (1992) no. 2, p. 17-38 / Harvested from Project Euclid

Résumé

We define and construct holomorphic $C$-existence families and holomorphic integrated semigroups and discuss their relationships with holomorphic $C$-semigroups and each other. We prove simple Hille-Yosida type theorems, involving the rate of growth of $\lVert(w-A)^{-1}\rVert$ or $\lVert(w-A)^{-1}C\rVert$ in a sector, for an operator to generate any of these families of operators.

Publié le : 1992-06-15
Classification:

@article{1270130249,
     author = {deLAUBENFELS, Ralph},
     title = {Holomorphic $C$-Existence Families},
     journal = {Tokyo J. of Math.},
     volume = {15},
     number = {2},
     year = {1992},
     pages = { 17-38},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270130249}
}

deLAUBENFELS, Ralph. Holomorphic $C$-Existence Families. Tokyo J. of Math., Tome 15 (1992) no. 2, pp.  17-38. http://gdmltest.u-ga.fr/item/1270130249/