A. Karlovich

activity

20002011

most citedAlgebras of singular integral operators on Nakano spaces with Khvedelidze weights over Carleson curves with logarithmic whirl points

6 citations · 17 across the 17 of their papers we have counts for

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Showing 2006 · math.FAShow all

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math.FA2006

Asymptotics of Toeplitz determinants generated by functions with Fourier coefficients in weighted Orlicz sequence classes

Alexei Yu. Karlovich

We prove asymptotic formulas for Toeplitz determinants generated by functions with sequences of Fourier coefficients belonging to weighted Orlicz sequence classes. We concentrate o…

math.FA2006★ 5 cited

Generalized Krein algebras and asymptotics of Toeplitz determinants

Albrecht Böttcher, Alexei Karlovich, Bernd Silbermann

We give a survey on generalized Krein algebras $K_{p, q}^{α, β}$ and their applications to Toeplitz determinants. Our methods originated in a paper by Mark Krein of 1966, where he sh…