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math.FA2021
Note on the Kato property of sectorial forms
Ralph Chill, Sebastian Krol
We characterise the Kato property of a sectorial form , defined on a Hilbert space , with respect to a larger Hilbert space in terms of two bounded, selfadjoin…
math.FA2018
Interpolation of nonlinear positive or order preserving operators on Banach lattices
Ralph Chill, Alberto Fiorenza, Sebastian Krol
We study the relationship between exact interpolation spaces for positive, linear operators, for order preserving, Lipschitz continuous operators, and for positive Gagliardo-Peetre…
math.FA2015
Real interpolation with weighted rearrangement invariant Banach function spaces
Ralph Chill, Sebastian Krol
Motivated by recent applications of weighted norm inequalities to maximal regularity of first and second order Cauchy problems, we study real interpolation spaces on the basis of g…