Maximal ? -regularity

In this paper, we prove maximal regularity estimates in “square function spaces” which are commonly used in harmonic analysis, spectral theory, and stochastic analysis. In particular, they lead to a new class of maximal regularity results for both deterministic and stochastic equations in L p -spaces with 1<p<?. For stochastic equations, the...

Non-autonomous stochastic Cauchy problems in Banach spaces