6 citations · 17 across the 17 of their papers we have counts for
4 papers · 1 filter
Singular Integral Operators on Variable Lebesgue Spaces over Arbitrary Carleson Curves
Alexei Yu. Karlovich
In 1968, Israel Gohberg and Naum Krupnik discovered that local spectra of singular integral operators with piecewise continuous coefficients on Lebesgue spaces over Lyapun…
Maximal operators on variable Lebesgue spaces with weights related to oscillations of Carleson curves
Alexei Yu. Karlovich
We prove sufficient conditions for the boundedness of the maximal operator on variable Lebesgue spaces with weights , where is a complex number, over arbi…
Remark on the Boundedness of the Cauchy Singular Integral Operator on Variable Lebesgue Spaces with Radial Oscillating Weights
Alexei Yu. Karlovich
Recently V. Kokilashvili, N. Samko, and S. Samko have proved a sufficient condition for the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with ra…
Asymptotics of Toeplitz Matrices with Symbols in Some Generalized Krein Algebras
Alexei Yu. Karlovich
Let and \[ K^{α,β}:=\left\{a\in L^\infty(\T): \sum_{k=1}^\infty |\hat{a}(-k)|^2 k^{2α}<\infty, \sum_{k=1}^\infty |\hat{a}(k)|^2 k^{2β}<\infty \right\}. \] Mark Krein…