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A stochastic Carleson embedding theorem with constant and the vector of Riesz transforms
Komla Domelevo, Johanna Fladung, Spyridon Kakaroumpas +2
We prove a continuous-time Carleson embedding theorem with constant for a system of square-integrable continuous martingales whose quadratic covariations mimic the generalised…
Compact sets in quasi-Banach function spaces and multilinear extrapolation of compactness on
Spyridon Kakaroumpas, Stefanos Lappas
This paper addresses a novel Riesz--Kolmogorov theorem on quasi-Banach function spaces under mild conditions and the extrapolation of multilinear compact operators in the context o…
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…