4 papers
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…
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…
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…
Weighted inequalities for singular integral operators on the half-line
Ralph Chill, Sebastian Krol
We prove weighted estimates for singular integral operators which operate on function spaces on a half-line. The class of admissible weights includes Muckenhoupt weights and weight…