6 citations · 10 across the 4 of their papers we have counts for
4 papers
Algebras of singular integral operators on Nakano spaces with Khvedelidze weights over Carleson curves with logarithmic whirl points
Alexei Yu. Karlovich
We establish a Fredholm criterion for an arbitrary operator in the Banach algebra of singular integral operators with piecewise continuous coefficients on Nakano spaces (generalize…
Commutators of singular integrals on generalized spaces with variable exponent
Alexei Yu. Karlovich, Andrei K. Lerner
A classical theorem of Coifman, Rochberg, and Weiss on commutators of singular integrals is extended to the case of generalized spaces with variable exponent.
Algebras of functions with Fourier coefficients in weighted Orlicz sequence spaces
Alexei Yu. Karlovich
We prove that the set of all integrable functions whose sequences of negative (resp. nonnegative) Fourier coefficients belong to (resp. to $\ell^1\cap\ell^…
Fredholmness of singular integral operators with piecewise continuous coefficients on weighted Banach function spaces
Alexei Yu. Karlovich
We prove necessary conditions for Fredholmness of singular integral operators with piecewise continuous coefficients on weighted Banach function spaces. These conditions are formul…