35 citations · 168 across the 31 of their papers we have counts for
4 papers · 1 filter
Vector-valued extensions of operators through multilinear limited range extrapolation
Emiel Lorist, Zoe Nieraeth
We give an extension of Rubio de Francia's extrapolation theorem for functions taking values in UMD Banach function spaces to the multilinear limited range setting. In particular w…
Sparse domination for the lattice Hardy-Littlewood maximal operator
Timo S. Hänninen, Emiel Lorist
We study the domination of the lattice Hardy--Littlewood maximal operator by sparse operators in the setting of general Banach lattices. We prove that the admissible exponents of t…
Fourier multipliers in Banach function spaces with UMD concavifications
Alex Amenta, Emiel Lorist, Mark Veraar
We prove various extensions of the Coifman-Rubio de Francia-Semmes multiplier theorem to operator-valued multipliers on Banach function spaces. Our results involve a new boundednes…
Rescaled extrapolation for vector-valued functions
Alex Amenta, Emiel Lorist, Mark Veraar
We extend Rubio de Francia's extrapolation theorem for functions valued in UMD Banach function spaces, leading to short proofs of some new and known results. In particular we prove…