Some applications of fractional calculus to operator semigroups and functional calculus
Volume 75 / 2007
Banach Center Publications 75 (2007), 143-157
MSC: {Primary 47A60, 47D03, 26A33; Secondary 47D06, 43A20,
43A22.
DOI: 10.4064/bc75-0-9
Abstract
We survey some recent results on functional calculus for generators of holomorphic semigroups, which have been obtained using versions of fractional derivation of Riemann-Liouville or Weyl type. Such a calculus allows us to give tight estimates even in concrete $L^1$ examples.
