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math.FA2025
A weak type criterion for operators, and applications
Bernhard H. Haak, El-Maati Ouhabaz
Let be a space of homogeneous type and an open subset of . Given a bounded operator for some , we give a criterion…
math.FA2014
Maximal regularity for non-autonomous evolution equations
Bernhard Hermann Haak, E. -M. Ouhabaz
We consider the maximal regularity problem for non-autonomous evolution equations of the form with initial data . Each operator is as…
math.FA2011
Exact observability, square functions and spectral theory
Bernhard Hermann Haak, El-Maati Ouhabaz
In the first part of this article we introduce the notion of a backward-forward conditioning (BFC) system that generalises the notion of zero-class admissibiliy introduced in [Xu,L…