S. Kakaroumpas

activity

20182020

collaborators

3 papers

math.CA2020

Dyadic product BMO in the Bloom setting

Spyridon Kakaroumpas, Odí Soler i Gibert

Ó. Blasco and S. Pott showed that the supremum of operator norms over $L^{2}$ of all bicommutators (with the same symbol) of one-parameter Haar multipliers dominates the biparameter…

math.CA2019

Two-weight estimates for sparse square functions and the separated bump conjecture

Spyridon Kakaroumpas

We show that two-weight $L^{2}$ bounds for sparse square functions, uniformly with respect to the sparseness constant of the underlying sparse family, and in both directions, do not…

math.CA2018

"Small step" remodeling and counterexamples for weighted estimates with arbitrarily "smooth" weights

Spyridon Kakaroumpas, Sergei Treil

For an $A_{p}$ weight $w$ the norm of the Hilbert Transform in $L^{p} (w)$ , $1 < p < \infty$ is estimated by $[w]_{A_{p}}^{s}$ , where $[w]_{A_{p}}$ is the $A_{p}$ characteristic of the weight $w$ …