5 citations · 5 across the 2 of their papers we have counts for
5 papers
On Hausdorff measure and an inequality due to Maz'ya
Hendrik Vogt, Jürgen Voigt
We give an "elementary" proof of an inequality due to Maz'ya. As a prerequisite we prove an approximation property for the Hausdorff measure. We also comment on the relations betwe…
Increasing sequences of sectorial forms
Hendrik Vogt, Jürgen Voigt
We prove convergence results for `increasing' sequences of sectorial forms. We treat both the case of closed forms and the case of non-closable forms.
A note on perturbations of -semigroups
Christian Seifert, Hendrik Vogt, Marcus Waurick
This article deals with a variation of constants type inequality for semigroups acting consistently on a scale of Banach spaces. This inequality can be characterized by a correspon…
Holomorphic families of forms, operators and -semigroups
Hendrik Vogt, Jürgen Voigt
If is a holomorphic function with values in the sectorial forms in a Hilbert space, then the associated operator valued function is resolvent holomorp…
Numerical Range and Quadratic Numerical Range for Damped Systems
Birgit Jacob, Christiane Tretter, Carsten Trunk +1
We prove new enclosures for the spectrum of non-selfadjoint operator matrices associated with second order linear differential equations $\ddot{z}(t) + D \dot{z} (t) + A_0 z(t) = 0…