3 papers
math.CA2025
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…
math.CA2025
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}(…
math.CA2024
Bilinear singular integral operators with kernels in weighted spaces
Petr Honzík, Stefanos Lappas, Lenka Slavíková
We establish the full quasi-Banach range of bounds for one-dimensional bilinear singular integral operator…