1 citations · 1 across the 4 of their papers we have counts for
8 papers
Ornstein--Uhlenbeck semigroup on rooted trees
Sahiba Arora, Marjeta Kramar Fijavž, Delio Mugnolo +1
We study Ornstein--Uhlenbeck operators on rooted metric trees equipped with a Gaussian-type measure. Using form methods, we construct Dirichlet and Neumann realisations correspondi…
The lattice structure of negative Sobolev and extrapolation spaces
Sahiba Arora, Jochen Glück, Felix L. Schwenninger
It is well-known that the Sobolev spaces are vector lattices with respect to the pointwise almost everywhere order if , but not if .…
Input-to-state stability in integral norms for linear infinite-dimensional systems
Sahiba Arora, Andrii Mironchenko
We study integral-to-integral input-to-state stability for infinite-dimensional linear systems with inputs and trajectories in -spaces. We start by developing the correspondin…
Smoothing of operator semigroups under relatively bounded perturbations
Sahiba Arora, Jonathan Mui
We investigate a smoothing property for strongly-continuous operator semigroups, akin to ultracontractivity in parabolic evolution equations. Specifically, we establish the stabili…
A universal example for quantitative semi-uniform stability
Sahiba Arora, Felix Schwenninger, Ingrid Vukusic +1
We characterise quantitative semi-uniform stability for -semigroups arising from port-Hamiltonian systems, complementing recent works on exponential and strong stability. With…
Admissible operators for sun-dual semigroups
Sahiba Arora, Felix L. Schwenninger
We extend classical duality results by Weiss on admissible operators to settings where the dual semigroup lacks strong continuity. This is possible using the sun-dual framework, wh…