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…
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…
Factorizations for variable exponent Muckenhoupt weights
Stefanos Lappas, Tuomas Oikari
Given two variable exponent Muckenhoupt weights and , we prove that for all small enough there holds that $w_0\in A_{p_0(\cdot)},…
Sharp bilinear estimates for maximal singular integrals with kernels in weighted spaces
Stefanos Lappas, Bae Jun Park
In this paper, we study the boundedness properties of the (dyadic) maximal bilinear operator associated with rough homogeneous kernels on . We establish sharp $L^{p_1}(…
Bilinear singular integral operators with kernels in weighted spaces
Petr HonzÃk, Stefanos Lappas, Lenka SlavÃková
We establish the full quasi-Banach range of bounds for one-dimensional bilinear singular integral operator…