1 citations · 1 across the 3 of their papers we have counts for
5 papers
Weighted Riesz--Kolmogorov criterion and multilinear extrapolation of compactness on variable Lebesgue spaces
Spyridon Kakaroumpas, Stefanos Lappas
This paper addresses a novel weighted Riesz--Kolmogorov theorem and the extrapolation of multilinear compact operators in the context of weighted variable Lebesgue spaces. We estab…
The Poisson Matrix characteristic and the 3/2 blow up of the Hilbert transform
Komla Domelevo, Spyridon Kakaroumpas, Stefanie Petermichl +2
Recently the matrix conjecture was disproved. Indeed, the growth of the vector Hilbert transform in the matrix weighted space was shown to be at best a constant mult…
Vector valued estimates for matrix weighted maximal operators and product
Spyridon Kakaroumpas, Odà Soler i Gibert
We consider maximal operators acting on vector valued functions, that is, functions taking values on that incorporate matrix weights in their definitions. We show v…
Extrapolation for bilinear compact operators in the variable exponent setting
Spyridon Kakaroumpas, Stefanos Lappas
We establish extrapolation of compactness for bilinear operators in the scale of weighted variable exponent Lebesgue spaces. First, we prove an abstract principle relying on the Co…
Multilinear matrix weights
Spyridon Kakaroumpas, Zoe Nieraeth
In this work we fully characterize the classes of matrix weights for which multilinear Calderón-Zygmund operators extend to bounded operators on matrix weighted Lebesgue spaces. T…